321501601600256 has 576 divisors, whose sum is σ = 820658805120000. Its totient is φ = 122084862197760.

The previous prime is 321501601600253. The next prime is 321501601600259. The reversal of 321501601600256 is 652006106105123.

It is an interprime number because it is at equal distance from previous prime (321501601600253) and next prime (321501601600259).

It is not an unprimeable number, because it can be changed into a prime (321501601600253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151010615000 + ... + 151010617128.

It is an arithmetic number, because the mean of its divisors is an integer number (1424754870000).

Almost surely, 2^{321501601600256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321501601600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410329402560000).

321501601600256 is an abundant number, since it is smaller than the sum of its proper divisors (499157203519744).

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

321501601600256 is a wasteful number, since it uses less digits than its factorization.

321501601600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

Adding to 321501601600256 its reverse (652006106105123), we get a palindrome (973507707705379).

The spelling of 321501601600256 in words is "three hundred twenty-one trillion, five hundred one billion, six hundred one million, six hundred thousand, two hundred fifty-six".