114013454231151 has 24 divisors (see below), whose sum is σ = 183551071831920. Its totient is φ = 67772703442176.

The previous prime is 114013454231141. The next prime is 114013454231179. The reversal of 114013454231151 is 151132454310411.

114013454231151 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 34 + 542 + 31 + 1 + 51 = 666.

It is not a de Polignac number, because 114013454231151 - 2⁵ = 114013454231119 is a prime.

It is a super-4 number, since 4×114013454231151⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114013454231141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19610154340 + ... + 19610160153.

It is an arithmetic number, because the mean of its divisors is an integer number (7647961326330).

Almost surely, 2^{114013454231151} is an apocalyptic number.

114013454231151 is a deficient number, since it is larger than the sum of its proper divisors (69537617600769).

114013454231151 is a wasteful number, since it uses less digits than its factorization.

114013454231151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39220314535 (or 39220314532 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 114013454231151 in words is "one hundred fourteen trillion, thirteen billion, four hundred fifty-four million, two hundred thirty-one thousand, one hundred fifty-one".