115113765371904 has 400 divisors, whose sum is σ = 370376956857600. Its totient is φ = 35419450245120.

The previous prime is 115113765371903. The next prime is 115113765371977. The reversal of 115113765371904 is 409173567311511.

115113765371904 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 13 + 7 + 6 + 537 + 1 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115113765371903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 551971009 + ... + 552179519.

It is an arithmetic number, because the mean of its divisors is an integer number (925942392144).

Almost surely, 2^{115113765371904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115113765371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185188478428800).

115113765371904 is an abundant number, since it is smaller than the sum of its proper divisors (255263191485696).

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

115113765371904 is an frugal number, since it uses more digits than its factorization.

115113765371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208574 (or 208529 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 115113765371904 in words is "one hundred fifteen trillion, one hundred thirteen billion, seven hundred sixty-five million, three hundred seventy-one thousand, nine hundred four".