114254354264013 has 96 divisors (see below), whose sum is σ = 183555697708800. Its totient is φ = 70178140561536.

The previous prime is 114254354263993. The next prime is 114254354264027. The reversal of 114254354264013 is 310462453452411.

114254354264013 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 43 + 542 + 64 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 114254354264013 - 2⁶ = 114254354263949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114254354264013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254354264033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 798022528 + ... + 798165686.

It is an arithmetic number, because the mean of its divisors is an integer number (1912038517800).

Almost surely, 2^{114254354264013} is an apocalyptic number.

It is an amenable number.

114254354264013 is a deficient number, since it is larger than the sum of its proper divisors (69301343444787).

114254354264013 is a wasteful number, since it uses less digits than its factorization.

114254354264013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145456 (or 145431 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 114254354264013 in words is "one hundred fourteen trillion, two hundred fifty-four billion, three hundred fifty-four million, two hundred sixty-four thousand, thirteen".