114280711294464 has 2400 divisors, whose sum is σ = 428755455707040. Its totient is φ = 30018455470080.

The previous prime is 114280711294439. The next prime is 114280711294471. The reversal of 114280711294464 is 464492117082411.

114280711294464 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 0 + 71 + 129 + 446 + 4 = 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 114280711294464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169807891632 + ... + 169807892304.

Almost surely, 2^{114280711294464} 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 114280711294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214377727853520).

114280711294464 is an abundant number, since it is smaller than the sum of its proper divisors (314474744412576).

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

114280711294464 is a wasteful number, since it uses less digits than its factorization.

114280711294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 114280711294464 in words is "one hundred fourteen trillion, two hundred eighty billion, seven hundred eleven million, two hundred ninety-four thousand, four hundred sixty-four".