18105164877888 has 560 divisors, whose sum is σ = 60619200681600. Its totient is φ = 5292690923520.

The previous prime is 18105164877857. The next prime is 18105164877931. The reversal of 18105164877888 is 88877846150181.

18105164877888 is a `hidden beast` number, since 1 + 8 + 10 + 51 + 6 + 487 + 7 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2260598428 + ... + 2260606436.

Almost surely, 2^{18105164877888} is an apocalyptic number.

18105164877888 is a gapful number since it is divisible by the number (18) 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 18105164877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30309600340800).

18105164877888 is an abundant number, since it is smaller than the sum of its proper divisors (42514035803712).

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

18105164877888 is a wasteful number, since it uses less digits than its factorization.

18105164877888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 72.

The spelling of 18105164877888 in words is "eighteen trillion, one hundred five billion, one hundred sixty-four million, eight hundred seventy-seven thousand, eight hundred eighty-eight".