115394575968 has 768 divisors, whose sum is σ = 409026723840. Its totient is φ = 30973612032.

The previous prime is 115394575963. The next prime is 115394575979. The reversal of 115394575968 is 869575493511.

115394575968 is a `hidden beast` number, since 1 + 1 + 5 + 39 + 4 + 5 + 7 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115394575963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1390296055 + ... + 1390296137.

It is an arithmetic number, because the mean of its divisors is an integer number (532586880).

Almost surely, 2^115394575968 is an apocalyptic number.

115394575968 is a gapful number since it is divisible by the number (18) 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 115394575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204513361920).

115394575968 is an abundant number, since it is smaller than the sum of its proper divisors (293632147872).

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

115394575968 is a wasteful number, since it uses less digits than its factorization.

115394575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 115394575968 in words is "one hundred fifteen billion, three hundred ninety-four million, five hundred seventy-five thousand, nine hundred sixty-eight".