688138263432 has 24 divisors (see below), whose sum is σ = 1863707796990. Its totient is φ = 229379421120.

The previous prime is 688138263431. The next prime is 688138263451. The reversal of 688138263432 is 234362831886.

688138263432 is a `hidden beast` number, since 68 + 8 + 13 + 82 + 63 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 531887241636 + 156251021796 = 729306^2 + 395286^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (688138263431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4778737869 + ... + 4778738012.

Almost surely, 2^688138263432 is an apocalyptic number.

It is an amenable number.

688138263432 is an abundant number, since it is smaller than the sum of its proper divisors (1175569533558).

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

688138263432 is a wasteful number, since it uses less digits than its factorization.

688138263432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557475893 (or 9557475886 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 688138263432 in words is "six hundred eighty-eight billion, one hundred thirty-eight million, two hundred sixty-three thousand, four hundred thirty-two".