253329172448256 has 704 divisors, whose sum is σ = 814193973573120. Its totient is φ = 77494616064000.

The previous prime is 253329172448251. The next prime is 253329172448293. The reversal of 253329172448256 is 652844271923352.

253329172448256 is a `hidden beast` number, since 2 + 5 + 3 + 32 + 9 + 1 + 72 + 4 + 482 + 56 = 666.

It is a super-2 number, since 2×253329172448256² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253329172448193 and 253329172448202.

It is not an unprimeable number, because it can be changed into a prime (253329172448251) 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, 69008217301 + ... + 69008220971.

Almost surely, 2^{253329172448256} 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 253329172448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407096986786560).

253329172448256 is an abundant number, since it is smaller than the sum of its proper divisors (560864801124864).

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

253329172448256 is a wasteful number, since it uses less digits than its factorization.

253329172448256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7315 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 253329172448256 in words is "two hundred fifty-three trillion, three hundred twenty-nine billion, one hundred seventy-two million, four hundred forty-eight thousand, two hundred fifty-six".