100044640534256 has 160 divisors (see below), whose sum is σ = 215424161971200. Its totient is φ = 44629495971840.

The previous prime is 100044640534159. The next prime is 100044640534261. The reversal of 100044640534256 is 652435046440001.

It is a super-2 number, since 2×100044640534256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901637680 + ... + 1901690288.

It is an arithmetic number, because the mean of its divisors is an integer number (1346401012320).

Almost surely, 2^{100044640534256} is an apocalyptic number.

100044640534256 is a gapful number since it is divisible by the number (16) 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 100044640534256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712080985600).

100044640534256 is an abundant number, since it is smaller than the sum of its proper divisors (115379521436944).

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

100044640534256 is a wasteful number, since it uses less digits than its factorization.

100044640534256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53527 (or 53521 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

Adding to 100044640534256 its reverse (652435046440001), we get a palindrome (752479686974257).

The spelling of 100044640534256 in words is "one hundred trillion, forty-four billion, six hundred forty million, five hundred thirty-four thousand, two hundred fifty-six".