688908105504 has 36 divisors (see below), whose sum is σ = 1959082425846. Its totient is φ = 229636035072.

The previous prime is 688908105499. The next prime is 688908105539. The reversal of 688908105504 is 405501809886.

It is a happy number.

688908105504 is a `hidden beast` number, since 6 + 8 + 8 + 9 + 0 + 81 + 0 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 554697248400 + 134210857104 = 744780^2 + 366348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×688908105504² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1196020729 + ... + 1196021304.

Almost surely, 2^688908105504 is an apocalyptic number.

It is an amenable number.

688908105504 is an abundant number, since it is smaller than the sum of its proper divisors (1270174320342).

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

688908105504 is a wasteful number, since it uses less digits than its factorization.

688908105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392042049 (or 2392042038 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 688908105504 in words is "six hundred eighty-eight billion, nine hundred eight million, one hundred five thousand, five hundred four".