114762979968 has 384 divisors, whose sum is σ = 387177981120. Its totient is φ = 29847896064.

The previous prime is 114762979937. The next prime is 114762980011. The reversal of 114762979968 is 869979267411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×114762979968² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17853171 + ... + 17859597.

Almost surely, 2^114762979968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114762979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193588990560).

114762979968 is an abundant number, since it is smaller than the sum of its proper divisors (272415001152).

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

114762979968 is a wasteful number, since it uses less digits than its factorization.

114762979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6525 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 69.

The spelling of 114762979968 in words is "one hundred fourteen billion, seven hundred sixty-two million, nine hundred seventy-nine thousand, nine hundred sixty-eight".