115581845901312 has 312 divisors, whose sum is σ = 395688735822016. Its totient is φ = 33023382552576.

The previous prime is 115581845901281. The next prime is 115581845901337. The reversal of 115581845901312 is 213109548185511.

115581845901312 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 8 + 18 + 4 + 590 + 1 + 31 + 2 = 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 23 ways as a sum of consecutive naturals, for example, 1327303 + ... + 15261894.

Almost surely, 2^{115581845901312} is an apocalyptic number.

115581845901312 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 115581845901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197844367911008).

115581845901312 is an abundant number, since it is smaller than the sum of its proper divisors (280106889920704).

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

115581845901312 is an frugal number, since it uses more digits than its factorization.

115581845901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589243 (or 16589209 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 54.

The spelling of 115581845901312 in words is "one hundred fifteen trillion, five hundred eighty-one billion, eight hundred forty-five million, nine hundred one thousand, three hundred twelve".