18363583090944 has 3456 divisors, whose sum is σ = 75866281344000. Its totient is φ = 4351940296704.

The previous prime is 18363583090859. The next prime is 18363583090987. The reversal of 18363583090944 is 44909038536381.

18363583090944 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 3 + 583 + 0 + 9 + 0 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×18363583090944² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 496313056494 + ... + 496313056530.

It is an arithmetic number, because the mean of its divisors is an integer number (21952049000).

Almost surely, 2^{18363583090944} is an apocalyptic number.

18363583090944 is a gapful number since it is divisible by the number (14) 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 18363583090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37933140672000).

18363583090944 is an abundant number, since it is smaller than the sum of its proper divisors (57502698253056).

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

18363583090944 is a wasteful number, since it uses less digits than its factorization.

18363583090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 18363583090944 in words is "eighteen trillion, three hundred sixty-three billion, five hundred eighty-three million, ninety thousand, nine hundred forty-four".