115014148560 has 400 divisors, whose sum is σ = 421474363200. Its totient is φ = 28987932672.

The previous prime is 115014148531. The next prime is 115014148573. The reversal of 115014148560 is 65841410511.

115014148560 is a `hidden beast` number, since 1 + 1 + 50 + 1 + 4 + 1 + 48 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71039431 + ... + 71041049.

It is an arithmetic number, because the mean of its divisors is an integer number (1053685908).

Almost surely, 2^115014148560 is an apocalyptic number.

115014148560 is a gapful number since it is divisible by the number (10) 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 115014148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210737181600).

115014148560 is an abundant number, since it is smaller than the sum of its proper divisors (306460214640).

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

115014148560 is a wasteful number, since it uses less digits than its factorization.

115014148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 115014148560 in words is "one hundred fifteen billion, fourteen million, one hundred forty-eight thousand, five hundred sixty".