114672589056 has 720 divisors, whose sum is σ = 382263974400. Its totient is φ = 34040217600.

The previous prime is 114672589019. The next prime is 114672589063. The reversal of 114672589056 is 650985276411.

It is a happy number.

114672589056 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 7 + 2 + 589 + 0 + 56 = 666.

It is a super-2 number, since 2×114672589056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114672588993 and 114672589011.

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, 500753550 + ... + 500753778.

Almost surely, 2^114672589056 is an apocalyptic number.

114672589056 is a gapful number since it is divisible by the number (16) 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 114672589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191131987200).

114672589056 is an abundant number, since it is smaller than the sum of its proper divisors (267591385344).

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

114672589056 is a wasteful number, since it uses less digits than its factorization.

114672589056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 114672589056 in words is "one hundred fourteen billion, six hundred seventy-two million, five hundred eighty-nine thousand, fifty-six".