688403231516160 has 3200 divisors, whose sum is σ = 2695461469138944. Its totient is φ = 168221738926080.

The previous prime is 688403231516159. The next prime is 688403231516207. The reversal of 688403231516160 is 61615132304886.

It is a happy number.

688403231516160 is a `hidden beast` number, since 6 + 8 + 8 + 4 + 0 + 3 + 2 + 3 + 15 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×688403231516160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 688403231516160 = 52164³ + 81756³ = 64224³ + 75096³.

It is a junction number, because it is equal to n+sod(n) for n = 688403231516097 and 688403231516106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2485210221942 + ... + 2485210222218.

Almost surely, 2^{688403231516160} is an apocalyptic number.

688403231516160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 26237439×26237440.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688403231516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347730734569472).

688403231516160 is an abundant number, since it is smaller than the sum of its proper divisors (2007058237622784).

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

688403231516160 is an frugal number, since it uses more digits than its factorization.

688403231516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 688403231516160 in words is "six hundred eighty-eight trillion, four hundred three billion, two hundred thirty-one million, five hundred sixteen thousand, one hundred sixty".