18828900107136 has 384 divisors, whose sum is σ = 63469067650560. Its totient is φ = 5246907494400.

The previous prime is 18828900107117. The next prime is 18828900107153. The reversal of 18828900107136 is 63170100982881.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54396565 + ... + 54741611.

It is an arithmetic number, because the mean of its divisors is an integer number (165284030340).

Almost surely, 2^{18828900107136} is an apocalyptic number.

18828900107136 is a gapful number since it is divisible by the number (16) 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 18828900107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31734533825280).

18828900107136 is an abundant number, since it is smaller than the sum of its proper divisors (44640167543424).

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

18828900107136 is a wasteful number, since it uses less digits than its factorization.

18828900107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345242 (or 345227 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 18828900107136 in words is "eighteen trillion, eight hundred twenty-eight billion, nine hundred million, one hundred seven thousand, one hundred thirty-six".