113971734409 has 9 divisors (see below), whose sum is σ = 123417932373. Its totient is φ = 105200626752.

The previous prime is 113971734397. The next prime is 113971734419. The reversal of 113971734409 is 904437179311.

It is a happy number.

The square root of 113971734409 is 337597.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54156271225 + 59815463184 = 232715^2 + 244572^2 .

It is not a de Polignac number, because 113971734409 - 2⁷ = 113971734281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113971734419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4375777 + ... + 4401745.

It is an arithmetic number, because the mean of its divisors is an integer number (13713103597).

Almost surely, 2^113971734409 is an apocalyptic number.

113971734409 is the 337597-th square number.

113971734409 is the 168799-th centered octagonal number.

It is an amenable number.

113971734409 is a deficient number, since it is larger than the sum of its proper divisors (9446197964).

113971734409 is an frugal number, since it uses more digits than its factorization.

113971734409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51964 (or 25982 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 113971734409 by its sum of digits (49), we get a square (5584614986041 = 2363179²).

The spelling of 113971734409 in words is "one hundred thirteen billion, nine hundred seventy-one million, seven hundred thirty-four thousand, four hundred nine".