18158116096512 has 960 divisors, whose sum is σ = 63969509260800. Its totient is φ = 4947077431296.

The previous prime is 18158116096487. The next prime is 18158116096513. The reversal of 18158116096512 is 21569061185181.

18158116096512 is a `hidden beast` number, since 1 + 8 + 1 + 5 + 8 + 11 + 609 + 6 + 5 + 12 = 666.

It is a super-2 number, since 2×18158116096512² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18158116096513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16613097438 + ... + 16613098530.

It is an arithmetic number, because the mean of its divisors is an integer number (66634905480).

Almost surely, 2^{18158116096512} is an apocalyptic number.

18158116096512 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 18158116096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31984754630400).

18158116096512 is an abundant number, since it is smaller than the sum of its proper divisors (45811393164288).

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

18158116096512 is a wasteful number, since it uses less digits than its factorization.

18158116096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 18158116096512 in words is "eighteen trillion, one hundred fifty-eight billion, one hundred sixteen million, ninety-six thousand, five hundred twelve".