688319122500 has 135 divisors (see below), whose sum is σ = 2174594425003. Its totient is φ = 183518580000.

The previous prime is 688319122459. The next prime is 688319122523. The reversal of 688319122500 is 5221913886.

The square root of 688319122500 is 829650.

It is a perfect power (a square), and thus also a powerful number.

688319122500 is a `hidden beast` number, since 6 + 8 + 8 + 3 + 19 + 122 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53964219204 + 634354903296 = 232302^2 + 796464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124444735 + ... + 124450265.

Almost surely, 2^688319122500 is an apocalyptic number.

688319122500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

688319122500 is the 829650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688319122500

688319122500 is an abundant number, since it is smaller than the sum of its proper divisors (1486275302503).

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

688319122500 is an frugal number, since it uses more digits than its factorization.

688319122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 688319122500 in words is "six hundred eighty-eight billion, three hundred nineteen million, one hundred twenty-two thousand, five hundred".