688815714048 has 432 divisors, whose sum is σ = 2331856356480. Its totient is φ = 178496102400.

The previous prime is 688815714047. The next prime is 688815714053. The reversal of 688815714048 is 840417518886.

It is a super-2 number, since 2×688815714048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 688815713982 and 688815714000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688815714047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203248738 + ... + 203252126.

It is an arithmetic number, because the mean of its divisors is an integer number (5397815640).

Almost surely, 2^688815714048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688815714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165928178240).

688815714048 is an abundant number, since it is smaller than the sum of its proper divisors (1643040642432).

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

688815714048 is a wasteful number, since it uses less digits than its factorization.

688815714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 60.

The spelling of 688815714048 in words is "six hundred eighty-eight billion, eight hundred fifteen million, seven hundred fourteen thousand, forty-eight".