114724260704001 has 16 divisors (see below), whose sum is σ = 165092736295424. Its totient is φ = 70445060256384.

The previous prime is 114724260703973. The next prime is 114724260704017. The reversal of 114724260704001 is 100407062427411.

It is a happy number.

It is not a de Polignac number, because 114724260704001 - 2²⁵ = 114724227149569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114724260704041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3218415121 + ... + 3218450766.

It is an arithmetic number, because the mean of its divisors is an integer number (10318296018464).

Almost surely, 2^{114724260704001} is an apocalyptic number.

It is an amenable number.

114724260704001 is a deficient number, since it is larger than the sum of its proper divisors (50368475591423).

114724260704001 is a wasteful number, since it uses less digits than its factorization.

114724260704001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436866360.

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 114724260704001 in words is "one hundred fourteen trillion, seven hundred twenty-four billion, two hundred sixty million, seven hundred four thousand, one".