18738956444400 has 360 divisors, whose sum is σ = 65645955666720. Its totient is φ = 4949703936000.

The previous prime is 18738956444389. The next prime is 18738956444407. The reversal of 18738956444400 is 444465983781.

18738956444400 is a `hidden beast` number, since 1 + 8 + 73 + 89 + 5 + 6 + 44 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×18738956444400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18738956444407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1970235645 + ... + 1970245155.

It is an arithmetic number, because the mean of its divisors is an integer number (182349876852).

Almost surely, 2^{18738956444400} is an apocalyptic number.

18738956444400 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 18738956444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32822977833360).

18738956444400 is an abundant number, since it is smaller than the sum of its proper divisors (46906999222320).

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

18738956444400 is a wasteful number, since it uses less digits than its factorization.

18738956444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14665 (or 14651 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 18738956444400 in words is "eighteen trillion, seven hundred thirty-eight billion, nine hundred fifty-six million, four hundred forty-four thousand, four hundred".