115138244966400 has 2880 divisors, whose sum is σ = 470690123904000. Its totient is φ = 27690821222400.

The previous prime is 115138244966377. The next prime is 115138244966411. The reversal of 115138244966400 is 4669442831511.

115138244966400 is a `hidden beast` number, since 1 + 1 + 5 + 13 + 82 + 4 + 496 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 303794841411 + ... + 303794841789.

It is an arithmetic number, because the mean of its divisors is an integer number (163434070800).

Almost surely, 2^{115138244966400} is an apocalyptic number.

115138244966400 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 115138244966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235345061952000).

115138244966400 is an abundant number, since it is smaller than the sum of its proper divisors (355551878937600).

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

115138244966400 is a wasteful number, since it uses less digits than its factorization.

115138244966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 115138244966400 in words is "one hundred fifteen trillion, one hundred thirty-eight billion, two hundred forty-four million, nine hundred sixty-six thousand, four hundred".