18313735564800 has 1800 divisors, whose sum is σ = 77272394328360. Its totient is φ = 4269957120000.

The previous prime is 18313735564793. The next prime is 18313735564841. The reversal of 18313735564800 is 846553731381.

18313735564800 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 3 + 7 + 3 + 556 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3329162050 + ... + 3329167550.

Almost surely, 2^{18313735564800} is an apocalyptic number.

18313735564800 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 18313735564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38636197164180).

18313735564800 is an abundant number, since it is smaller than the sum of its proper divisors (58958658763560).

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

18313735564800 is a wasteful number, since it uses less digits than its factorization.

18313735564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 18313735564800 in words is "eighteen trillion, three hundred thirteen billion, seven hundred thirty-five million, five hundred sixty-four thousand, eight hundred".