321445875272256 has 672 divisors, whose sum is σ = 1151799155619840. Its totient is φ = 83585256652800.

The previous prime is 321445875272143. The next prime is 321445875272257. The reversal of 321445875272256 is 652272578544123.

It is a happy number.

321445875272256 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 4 + 5 + 87 + 527 + 2 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×321445875272256² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 321445875272193 and 321445875272202.

It is not an unprimeable number, because it can be changed into a prime (321445875272257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738891016 + ... + 2739008376.

It is an arithmetic number, because the mean of its divisors is an integer number (1713986838720).

Almost surely, 2^{321445875272256} is an apocalyptic number.

321445875272256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321445875272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575899577809920).

321445875272256 is an abundant number, since it is smaller than the sum of its proper divisors (830353280347584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321445875272256 is a wasteful number, since it uses less digits than its factorization.

321445875272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118723 (or 118710 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 63.

The spelling of 321445875272256 in words is "three hundred twenty-one trillion, four hundred forty-five billion, eight hundred seventy-five million, two hundred seventy-two thousand, two hundred fifty-six".