321263645472 has 768 divisors, whose sum is σ = 1202342400000. Its totient is φ = 82727930880.

The previous prime is 321263645459. The next prime is 321263645477. The reversal of 321263645472 is 274546362123.

321263645472 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 636 + 4 + 5 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×321263645472² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (321263645477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 453121854 + ... + 453122562.

It is an arithmetic number, because the mean of its divisors is an integer number (1565550000).

Almost surely, 2^321263645472 is an apocalyptic number.

321263645472 is a gapful number since it is divisible by the number (32) 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 321263645472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601171200000).

321263645472 is an abundant number, since it is smaller than the sum of its proper divisors (881078754528).

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

321263645472 is a wasteful number, since it uses less digits than its factorization.

321263645472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 871 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 321263645472 in words is "three hundred twenty-one billion, two hundred sixty-three million, six hundred forty-five thousand, four hundred seventy-two".