113968712925769 has 27 divisors (see below), whose sum is σ = 123694440629823. Its totient is φ = 104959894059072.

The previous prime is 113968712925757. The next prime is 113968712925817. The reversal of 113968712925769 is 967529217869311.

The square root of 113968712925769 is 10675613.

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

It can be written as a sum of positive squares in 13 ways, for example, as 85704731559225 + 28263981366544 = 9257685^2 + 5316388^2 .

It is not a de Polignac number, because 113968712925769 - 2⁵ = 113968712925737 is a prime.

It is a super-2 number, since 2×113968712925769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113968712925695 and 113968712925704.

It is not an unprimeable number, because it can be changed into a prime (113968712922769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93956069407 + ... + 93956070619.

Almost surely, 2^{113968712925769} is an apocalyptic number.

113968712925769 is the 10675613-rd square number.

113968712925769 is the 5337807-th centered octagonal number.

It is an amenable number.

113968712925769 is a deficient number, since it is larger than the sum of its proper divisors (9725727704054).

113968712925769 is an frugal number, since it uses more digits than its factorization.

113968712925769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 1903 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 76.

The spelling of 113968712925769 in words is "one hundred thirteen trillion, nine hundred sixty-eight billion, seven hundred twelve million, nine hundred twenty-five thousand, seven hundred sixty-nine".