9138863750400 has 324 divisors, whose sum is σ = 33883635912672. Its totient is φ = 2437029918720.

The previous prime is 9138863750377. The next prime is 9138863750437. The reversal of 9138863750400 is 40573688319.

9138863750400 is a `hidden beast` number, since 91 + 3 + 8 + 86 + 3 + 75 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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 35 ways as a sum of consecutive naturals, for example, 1382964 + ... + 4493363.

Almost surely, 2^{9138863750400} is an apocalyptic number.

9138863750400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9138863750400 is an abundant number, since it is smaller than the sum of its proper divisors (24744772162272).

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

9138863750400 is an equidigital number, since it uses as much as digits as its factorization.

9138863750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876368 (or 5876337 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 9138863750400 in words is "nine trillion, one hundred thirty-eight billion, eight hundred sixty-three million, seven hundred fifty thousand, four hundred".