18372138946560 has 1872 divisors, whose sum is σ = 80025807888000. Its totient is φ = 3813792546816.

The previous prime is 18372138946529. The next prime is 18372138946631. The reversal of 18372138946560 is 6564983127381.

18372138946560 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 21 + 3 + 8 + 9 + 46 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10813500591 + ... + 10813502289.

It is an arithmetic number, because the mean of its divisors is an integer number (42748829000).

It is a 1-persistent number, because it is pandigital, but 2⋅18372138946560 = 36744277893120 is not.

Almost surely, 2^{18372138946560} is an apocalyptic number.

18372138946560 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 18372138946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40012903944000).

18372138946560 is an abundant number, since it is smaller than the sum of its proper divisors (61653668941440).

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

18372138946560 is a wasteful number, since it uses less digits than its factorization.

18372138946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

It can be divided in two parts, 183721 and 38946560, that added together give a triangular number (39130281 = T₈₈₄₆).

The spelling of 18372138946560 in words is "eighteen trillion, three hundred seventy-two billion, one hundred thirty-eight million, nine hundred forty-six thousand, five hundred sixty".