18364459968000 has 800 divisors, whose sum is σ = 68530170440160. Its totient is φ = 4888354406400.

The previous prime is 18364459967957. The next prime is 18364459968031. The reversal of 18364459968000 is 86995446381.

18364459968000 is a `hidden beast` number, since 1 + 8 + 36 + 4 + 4 + 599 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×18364459968000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3177789111 + ... + 3177794889.

Almost surely, 2^{18364459968000} is an apocalyptic number.

18364459968000 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 18364459968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34265085220080).

18364459968000 is an abundant number, since it is smaller than the sum of its proper divisors (50165710472160).

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

18364459968000 is an frugal number, since it uses more digits than its factorization.

18364459968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 18364459968000 in words is "eighteen trillion, three hundred sixty-four billion, four hundred fifty-nine million, nine hundred sixty-eight thousand".