38118673612800 has 1872 divisors, whose sum is σ = 163567384579872. Its totient is φ = 8697308774400.

The previous prime is 38118673612757. The next prime is 38118673612897. The reversal of 38118673612800 is 821637681183.

It is a happy number.

38118673612800 is a `hidden beast` number, since 3 + 8 + 1 + 18 + 6 + 7 + 3 + 612 + 8 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2242274918392 + ... + 2242274918408.

It is an arithmetic number, because the mean of its divisors is an integer number (87375739626).

Almost surely, 2^{38118673612800} is an apocalyptic number.

38118673612800 is a gapful number since it is divisible by the number (30) 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 38118673612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81783692289936).

38118673612800 is an abundant number, since it is smaller than the sum of its proper divisors (125448710967072).

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

38118673612800 is an frugal number, since it uses more digits than its factorization.

38118673612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 38118673612800 in words is "thirty-eight trillion, one hundred eighteen billion, six hundred seventy-three million, six hundred twelve thousand, eight hundred".