115625840844384 has 192 divisors, whose sum is σ = 364703336524800. Its totient is φ = 35428322474496.

The previous prime is 115625840844323. The next prime is 115625840844413. The reversal of 115625840844384 is 483448048526511.

115625840844384 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 2 + 584 + 0 + 8 + 4 + 43 + 8 + 4 = 666.

It is a super-3 number, since 3×115625840844384³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18851794 + ... + 24220689.

It is an arithmetic number, because the mean of its divisors is an integer number (1899496544400).

Almost surely, 2^{115625840844384} is an apocalyptic number.

It is an amenable number.

115625840844384 is an abundant number, since it is smaller than the sum of its proper divisors (249077495680416).

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

115625840844384 is a wasteful number, since it uses less digits than its factorization.

115625840844384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43072754 (or 43072740 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 115625840844384 in words is "one hundred fifteen trillion, six hundred twenty-five billion, eight hundred forty million, eight hundred forty-four thousand, three hundred eighty-four".