18442153820160 has 1904 divisors, whose sum is σ = 77979611424960. Its totient is φ = 4097247805440.

The previous prime is 18442153820159. The next prime is 18442153820173. The reversal of 18442153820160 is 6102835124481.

18442153820160 is a `hidden beast` number, since 1 + 8 + 44 + 215 + 382 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×18442153820160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 68558192506 + ... + 68558192774.

Almost surely, 2^{18442153820160} is an apocalyptic number.

18442153820160 is a gapful number since it is divisible by the number (10) 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 18442153820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38989805712480).

18442153820160 is an abundant number, since it is smaller than the sum of its proper divisors (59537457604800).

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

18442153820160 is an frugal number, since it uses more digits than its factorization.

18442153820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18442153820160 in words is "eighteen trillion, four hundred forty-two billion, one hundred fifty-three million, eight hundred twenty thousand, one hundred sixty".