114974705664 has 768 divisors, whose sum is σ = 426278361600. Its totient is φ = 29812064256.

The previous prime is 114974705641. The next prime is 114974705669. The reversal of 114974705664 is 466507479411.

It is a happy number.

114974705664 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 4 + 70 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114974705664.

It is not an unprimeable number, because it can be changed into a prime (114974705669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367331172 + ... + 367331484.

It is an arithmetic number, because the mean of its divisors is an integer number (555049950).

Almost surely, 2^114974705664 is an apocalyptic number.

114974705664 is a gapful number since it is divisible by the number (14) 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 114974705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213139180800).

114974705664 is an abundant number, since it is smaller than the sum of its proper divisors (311303655936).

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

114974705664 is a wasteful number, since it uses less digits than its factorization.

114974705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 114974705664 in words is "one hundred fourteen billion, nine hundred seventy-four million, seven hundred five thousand, six hundred sixty-four".