114241055540013 has 48 divisors (see below), whose sum is σ = 179153425406592. Its totient is φ = 69865810560000.

The previous prime is 114241055539997. The next prime is 114241055540021. The reversal of 114241055540013 is 310045550142411.

114241055540013 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 105 + 5 + 540 + 0 + 1 + 3 = 666.

114241055540013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 114241055540013 - 2⁴ = 114241055539997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114241055540013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241055545013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070993 + ... + 15256838.

It is an arithmetic number, because the mean of its divisors is an integer number (3732363029304).

Almost surely, 2^{114241055540013} is an apocalyptic number.

It is an amenable number.

114241055540013 is a deficient number, since it is larger than the sum of its proper divisors (64912369866579).

114241055540013 is a wasteful number, since it uses less digits than its factorization.

114241055540013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17328946 (or 17328943 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114241055540013 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-five million, five hundred forty thousand, thirteen".