114517978904064 has 320 divisors, whose sum is σ = 316745809256448. Its totient is φ = 36727868620800.

The previous prime is 114517978904027. The next prime is 114517978904071. The reversal of 114517978904064 is 460409879715411.

It is a super-2 number, since 2×114517978904064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114517978903986 and 114517978904004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23167705177 + ... + 23167710119.

Almost surely, 2^{114517978904064} 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 114517978904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158372904628224).

114517978904064 is an abundant number, since it is smaller than the sum of its proper divisors (202227830352384).

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

114517978904064 is a wasteful number, since it uses less digits than its factorization.

114517978904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 114517978904064 in words is "one hundred fourteen trillion, five hundred seventeen billion, nine hundred seventy-eight million, nine hundred four thousand, sixty-four".