114561263961 has 27 divisors (see below), whose sum is σ = 166503043551. Its totient is φ = 75903704064.

The previous prime is 114561263951. The next prime is 114561263989. The reversal of 114561263961 is 169362165411.

The square root of 114561263961 is 338469.

It is a perfect power (a square), and thus also a powerful number.

114561263961 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 1 + 2 + 639 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112785147225 + 1776116736 = 335835^2 + 42144^2 .

It is a de Polignac number, because none of the positive numbers 2^k-114561263961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114561263911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260959380 + ... + 260959818.

Almost surely, 2^114561263961 is an apocalyptic number.

114561263961 is the 338469-th square number.

114561263961 is the 169235-th centered octagonal number.

It is an amenable number.

114561263961 is a deficient number, since it is larger than the sum of its proper divisors (51941779590).

114561263961 is an frugal number, since it uses more digits than its factorization.

114561263961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 114561263961 in words is "one hundred fourteen billion, five hundred sixty-one million, two hundred sixty-three thousand, nine hundred sixty-one".