114145515225 has 96 divisors (see below), whose sum is σ = 246122461440. Its totient is φ = 50770437120.

The previous prime is 114145515217. The next prime is 114145515227. The reversal of 114145515225 is 522515541411.

114145515225 is a `hidden beast` number, since 1 + 1 + 41 + 45 + 51 + 522 + 5 = 666.

It is not a de Polignac number, because 114145515225 - 2³ = 114145515217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114145515225.

It is not an unprimeable number, because it can be changed into a prime (114145515227) 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, 151632 + ... + 501281.

It is an arithmetic number, because the mean of its divisors is an integer number (2563775640).

Almost surely, 2^114145515225 is an apocalyptic number.

114145515225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114145515225 is an abundant number, since it is smaller than the sum of its proper divisors (131976946215).

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

114145515225 is a wasteful number, since it uses less digits than its factorization.

114145515225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652976 (or 652965 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The spelling of 114145515225 in words is "one hundred fourteen billion, one hundred forty-five million, five hundred fifteen thousand, two hundred twenty-five".