688188131950 has 48 divisors (see below), whose sum is σ = 1396524830976. Its totient is φ = 250227192800.

The previous prime is 688188131927. The next prime is 688188131951. The reversal of 688188131950 is 59131881886.

It is a super-2 number, since 2×688188131950² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688188131951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6627129 + ... + 6730171.

It is an arithmetic number, because the mean of its divisors is an integer number (29094267312).

Almost surely, 2^688188131950 is an apocalyptic number.

688188131950 is an abundant number, since it is smaller than the sum of its proper divisors (708336699026).

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

688188131950 is a wasteful number, since it uses less digits than its factorization.

688188131950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115209 (or 115204 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 58.

The spelling of 688188131950 in words is "six hundred eighty-eight billion, one hundred eighty-eight million, one hundred thirty-one thousand, nine hundred fifty".