18728610516924 has 768 divisors, whose sum is σ = 59907365683200. Its totient is φ = 4406466355200.

The previous prime is 18728610516893. The next prime is 18728610517031. The reversal of 18728610516924 is 42961501682781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33624076054 + ... + 33624076610.

It is an arithmetic number, because the mean of its divisors is an integer number (78004382400).

Almost surely, 2^{18728610516924} is an apocalyptic number.

18728610516924 is a gapful number since it is divisible by the number (14) 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 18728610516924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29953682841600).

18728610516924 is an abundant number, since it is smaller than the sum of its proper divisors (41178755166276).

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

18728610516924 is a wasteful number, since it uses less digits than its factorization.

18728610516924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 18728610516924 in words is "eighteen trillion, seven hundred twenty-eight billion, six hundred ten million, five hundred sixteen thousand, nine hundred twenty-four".