688008014100 has 432 divisors, whose sum is σ = 2445923450880. Its totient is φ = 166364668800.

The previous prime is 688008014093. The next prime is 688008014159. The reversal of 688008014100 is 1410800886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111995629 + ... + 112001771.

It is an arithmetic number, because the mean of its divisors is an integer number (5661859840).

Almost surely, 2^688008014100 is an apocalyptic number.

688008014100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688008014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222961725440).

688008014100 is an abundant number, since it is smaller than the sum of its proper divisors (1757915436780).

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

688008014100 is a wasteful number, since it uses less digits than its factorization.

688008014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6602 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 688008014100 its reverse (1410800886), we get a palindrome (689418814986).

The spelling of 688008014100 in words is "six hundred eighty-eight billion, eight million, fourteen thousand, one hundred".