321125672696256 has 336 divisors, whose sum is σ = 934891699123200. Its totient is φ = 105370657007616.

The previous prime is 321125672696233. The next prime is 321125672696347. The reversal of 321125672696256 is 652696276521123.

321125672696256 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 2 + 567 + 2 + 6 + 9 + 62 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 321125672696193 and 321125672696202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72603586461 + ... + 72603590883.

It is an arithmetic number, because the mean of its divisors is an integer number (2782415771200).

Almost surely, 2^{321125672696256} is an apocalyptic number.

321125672696256 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 321125672696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467445849561600).

321125672696256 is an abundant number, since it is smaller than the sum of its proper divisors (613766026426944).

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

321125672696256 is a wasteful number, since it uses less digits than its factorization.

321125672696256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8923 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 321125672696256 in words is "three hundred twenty-one trillion, one hundred twenty-five billion, six hundred seventy-two million, six hundred ninety-six thousand, two hundred fifty-six".