253344332556 has 384 divisors, whose sum is σ = 782566686720. Its totient is φ = 69385075200.

The previous prime is 253344332539. The next prime is 253344332569. The reversal of 253344332556 is 655233443352.

253344332556 is a `hidden beast` number, since 2 + 53 + 3 + 4 + 43 + 3 + 2 + 556 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587805661 + ... + 587806091.

It is an arithmetic number, because the mean of its divisors is an integer number (2037934080).

Almost surely, 2^253344332556 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 253344332556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391283343360).

253344332556 is an abundant number, since it is smaller than the sum of its proper divisors (529222354164).

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

253344332556 is a wasteful number, since it uses less digits than its factorization.

253344332556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 794 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 45.

The spelling of 253344332556 in words is "two hundred fifty-three billion, three hundred forty-four million, three hundred thirty-two thousand, five hundred fifty-six".