868764338100 has 108 divisors (see below), whose sum is σ = 2789510587500. Its totient is φ = 226019980800.

The previous prime is 868764338083. The next prime is 868764338107. The reversal of 868764338100 is 1833467868.

868764338100 is a `hidden beast` number, since 8 + 68 + 76 + 433 + 81 + 0 + 0 = 666.

868764338100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19406718864 + 849357619236 = 139308^2 + 921606^2 .

It is a super-2 number, since 2×868764338100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868764338107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11734975 + ... + 11808774.

Almost surely, 2^868764338100 is an apocalyptic number.

It is an amenable number.

868764338100 is an abundant number, since it is smaller than the sum of its proper divisors (1920746249400).

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

868764338100 is a wasteful number, since it uses less digits than its factorization.

868764338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23543810 (or 23543800 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 868764338100 in words is "eight hundred sixty-eight billion, seven hundred sixty-four million, three hundred thirty-eight thousand, one hundred".