114872002560 has 1152 divisors, whose sum is σ = 481660058880. Its totient is φ = 24772608000.

The previous prime is 114872002543. The next prime is 114872002561. The reversal of 114872002560 is 65200278411.

114872002560 is a `hidden beast` number, since 1 + 14 + 87 + 2 + 0 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (114872002561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1137346510 + ... + 1137346610.

It is an arithmetic number, because the mean of its divisors is an integer number (418107690).

Almost surely, 2^114872002560 is an apocalyptic number.

114872002560 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 114872002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240830029440).

114872002560 is an abundant number, since it is smaller than the sum of its proper divisors (366788056320).

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

114872002560 is a wasteful number, since it uses less digits than its factorization.

114872002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 114872002560 in words is "one hundred fourteen billion, eight hundred seventy-two million, two thousand, five hundred sixty".