114645416769 has 64 divisors (see below), whose sum is σ = 188513740800. Its totient is φ = 68413294656.

The previous prime is 114645416713. The next prime is 114645416777. The reversal of 114645416769 is 967614546411.

114645416769 is a `hidden beast` number, since 11 + 464 + 5 + 4 + 167 + 6 + 9 = 666.

It is not a de Polignac number, because 114645416769 - 2⁹ = 114645416257 is a prime.

It is a super-2 number, since 2×114645416769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114645416779) 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, 2070604 + ... + 2125250.

It is an arithmetic number, because the mean of its divisors is an integer number (2945527200).

Almost surely, 2^114645416769 is an apocalyptic number.

It is an amenable number.

114645416769 is a deficient number, since it is larger than the sum of its proper divisors (73868324031).

114645416769 is a wasteful number, since it uses less digits than its factorization.

114645416769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54851 (or 54845 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 114645416769 in words is "one hundred fourteen billion, six hundred forty-five million, four hundred sixteen thousand, seven hundred sixty-nine".