114016438927584 has 96 divisors (see below), whose sum is σ = 336284440884000. Its totient is φ = 37578451756032.

The previous prime is 114016438927579. The next prime is 114016438927607. The reversal of 114016438927584 is 485729834610411.

It is a happy number.

114016438927584 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 6 + 43 + 8 + 9 + 2 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114016438927584² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741290919 + ... + 741444710.

It is an arithmetic number, because the mean of its divisors is an integer number (3502962925875).

It is a 1-persistent number, because it is pandigital, but 2⋅114016438927584 = 228032877855168 is not.

Almost surely, 2^{114016438927584} is an apocalyptic number.

It is an amenable number.

114016438927584 is an abundant number, since it is smaller than the sum of its proper divisors (222268001956416).

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

114016438927584 is a wasteful number, since it uses less digits than its factorization.

114016438927584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482735737 (or 1482735723 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 114016438927584 in words is "one hundred fourteen trillion, sixteen billion, four hundred thirty-eight million, nine hundred twenty-seven thousand, five hundred eighty-four".