114000042345201 has 64 divisors (see below), whose sum is σ = 170202429788160. Its totient is φ = 75410658270720.

The previous prime is 114000042345191. The next prime is 114000042345227. The reversal of 114000042345201 is 102543240000411.

114000042345201 is a `hidden beast` number, since 1 + 1 + 400 + 0 + 0 + 4 + 234 + 5 + 20 + 1 = 666.

114000042345201 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 114000042345201 - 2²¹ = 114000040248049 is a prime.

It is a super-2 number, since 2×114000042345201² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114000042345251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18248763060 + ... + 18248769306.

It is an arithmetic number, because the mean of its divisors is an integer number (2659412965440).

Almost surely, 2^{114000042345201} is an apocalyptic number.

It is an amenable number.

114000042345201 is a deficient number, since it is larger than the sum of its proper divisors (56202387442959).

114000042345201 is a wasteful number, since it uses less digits than its factorization.

114000042345201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114000042345201 its reverse (102543240000411), we get a palindrome (216543282345612).

The spelling of 114000042345201 in words is "one hundred fourteen trillion, forty-two million, three hundred forty-five thousand, two hundred one".