18972491016192 has 576 divisors, whose sum is σ = 60834596659200. Its totient is φ = 5237435105280.

The previous prime is 18972491016139. The next prime is 18972491016221. The reversal of 18972491016192 is 29161019427981.

It is a super-2 number, since 2×18972491016192² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7830164293 + ... + 7830166715.

It is an arithmetic number, because the mean of its divisors is an integer number (105615619200).

Almost surely, 2^{18972491016192} is an apocalyptic number.

18972491016192 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 18972491016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30417298329600).

18972491016192 is an abundant number, since it is smaller than the sum of its proper divisors (41862105643008).

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

18972491016192 is a wasteful number, since it uses less digits than its factorization.

18972491016192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 18972491016192 in words is "eighteen trillion, nine hundred seventy-two billion, four hundred ninety-one million, sixteen thousand, one hundred ninety-two".