115469407872 has 1024 divisors, whose sum is σ = 438681600000. Its totient is φ = 29701582848.

The previous prime is 115469407849. The next prime is 115469407891. The reversal of 115469407872 is 278704964511.

115469407872 is a `hidden beast` number, since 1 + 1 + 5 + 469 + 40 + 78 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 909207873 + ... + 909207999.

It is an arithmetic number, because the mean of its divisors is an integer number (428400000).

Almost surely, 2^115469407872 is an apocalyptic number.

115469407872 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 115469407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800000).

115469407872 is an abundant number, since it is smaller than the sum of its proper divisors (323212192128).

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

115469407872 is a wasteful number, since it uses less digits than its factorization.

115469407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 115469407872 in words is "one hundred fifteen billion, four hundred sixty-nine million, four hundred seven thousand, eight hundred seventy-two".