18914636620152 has 2304 divisors, whose sum is σ = 71676405964800. Its totient is φ = 4451266068480.

The previous prime is 18914636620147. The next prime is 18914636620171. The reversal of 18914636620152 is 25102663641981.

18914636620152 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 4 + 6 + 3 + 6 + 620 + 1 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 194996253768 + ... + 194996253864.

It is an arithmetic number, because the mean of its divisors is an integer number (31109551200).

Almost surely, 2^{18914636620152} is an apocalyptic number.

18914636620152 is a gapful number since it is divisible by the number (12) 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 18914636620152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35838202982400).

18914636620152 is an abundant number, since it is smaller than the sum of its proper divisors (52761769344648).

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

18914636620152 is a wasteful number, since it uses less digits than its factorization.

18914636620152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 18914636620152 in words is "eighteen trillion, nine hundred fourteen billion, six hundred thirty-six million, six hundred twenty thousand, one hundred fifty-two".