114577275960 has 384 divisors, whose sum is σ = 440176988160. Its totient is φ = 25293772800.

The previous prime is 114577275877. The next prime is 114577275973. The reversal of 114577275960 is 69572775411.

114577275960 is a `hidden beast` number, since 1 + 1 + 4 + 577 + 2 + 7 + 5 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 114577275897 and 114577275906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50230020 + ... + 50232300.

It is an arithmetic number, because the mean of its divisors is an integer number (1146294240).

Almost surely, 2^114577275960 is an apocalyptic number.

114577275960 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 114577275960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220088494080).

114577275960 is an abundant number, since it is smaller than the sum of its proper divisors (325599712200).

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

114577275960 is a wasteful number, since it uses less digits than its factorization.

114577275960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 114577275960 in words is "one hundred fourteen billion, five hundred seventy-seven million, two hundred seventy-five thousand, nine hundred sixty".