115481688192 has 384 divisors, whose sum is σ = 363438566400. Its totient is φ = 34985779200.

The previous prime is 115481688097. The next prime is 115481688193. The reversal of 115481688192 is 291886184511.

115481688192 is a `hidden beast` number, since 1 + 1 + 548 + 1 + 6 + 8 + 8 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (115481688193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504286734 + ... + 504286962.

It is an arithmetic number, because the mean of its divisors is an integer number (946454600).

Almost surely, 2^115481688192 is an apocalyptic number.

115481688192 is a gapful number since it is divisible by the number (12) 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 115481688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181719283200).

115481688192 is an abundant number, since it is smaller than the sum of its proper divisors (247956878208).

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

115481688192 is a wasteful number, since it uses less digits than its factorization.

115481688192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 54.

The spelling of 115481688192 in words is "one hundred fifteen billion, four hundred eighty-one million, six hundred eighty-eight thousand, one hundred ninety-two".