115044414912 has 448 divisors, whose sum is σ = 396296570880. Its totient is φ = 32049561600.

The previous prime is 115044414889. The next prime is 115044414917. The reversal of 115044414912 is 219414440511.

115044414912 is a `hidden beast` number, since 1 + 1 + 504 + 4 + 4 + 149 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115044414917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83304462 + ... + 83305842.

It is an arithmetic number, because the mean of its divisors is an integer number (884590560).

Almost surely, 2^115044414912 is an apocalyptic number.

115044414912 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 115044414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198148285440).

115044414912 is an abundant number, since it is smaller than the sum of its proper divisors (281252155968).

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

115044414912 is a wasteful number, since it uses less digits than its factorization.

115044414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 115044414912 in words is "one hundred fifteen billion, forty-four million, four hundred fourteen thousand, nine hundred twelve".