18917134117920 has 192 divisors, whose sum is σ = 66354855920640. Its totient is φ = 5033530128384.

The previous prime is 18917134117891. The next prime is 18917134118027. The reversal of 18917134117920 is 2971143171981.

18917134117920 is a `hidden beast` number, since 1 + 8 + 91 + 71 + 3 + 411 + 79 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2816752 + ... + 6765231.

It is an arithmetic number, because the mean of its divisors is an integer number (345598207920).

Almost surely, 2^{18917134117920} is an apocalyptic number.

18917134117920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18917134117920 is an abundant number, since it is smaller than the sum of its proper divisors (47437721802720).

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

18917134117920 is a wasteful number, since it uses less digits than its factorization.

18917134117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582464 (or 9582450 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 18917134117920 in words is "eighteen trillion, nine hundred seventeen billion, one hundred thirty-four million, one hundred seventeen thousand, nine hundred twenty".