688391433216 has 352 divisors, whose sum is σ = 2154754080000. Its totient is φ = 216498438144.

The previous prime is 688391433193. The next prime is 688391433229. The reversal of 688391433216 is 612334193886.

688391433216 is a `hidden beast` number, since 6 + 8 + 8 + 391 + 4 + 33 + 216 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135002635 + ... + 135007733.

Almost surely, 2^688391433216 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 688391433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077377040000).

688391433216 is an abundant number, since it is smaller than the sum of its proper divisors (1466362646784).

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

688391433216 is a wasteful number, since it uses less digits than its factorization.

688391433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5380 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 688391433216 in words is "six hundred eighty-eight billion, three hundred ninety-one million, four hundred thirty-three thousand, two hundred sixteen".