114777584064 has 896 divisors, whose sum is σ = 425832422400. Its totient is φ = 29780213760.

The previous prime is 114777584059. The next prime is 114777584087. The reversal of 114777584064 is 460485777411.

114777584064 is a `hidden beast` number, since 1 + 1 + 477 + 75 + 8 + 40 + 64 = 666.

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 114777584064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 373868199 + ... + 373868505.

It is an arithmetic number, because the mean of its divisors is an integer number (475259400).

Almost surely, 2^114777584064 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 114777584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212916211200).

114777584064 is an abundant number, since it is smaller than the sum of its proper divisors (311054838336).

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

114777584064 is a wasteful number, since it uses less digits than its factorization.

114777584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 114777584064 in words is "one hundred fourteen billion, seven hundred seventy-seven million, five hundred eighty-four thousand, sixty-four".