113185817761 has 9 divisors (see below), whose sum is σ = 114351894579. Its totient is φ = 112031523000.

The previous prime is 113185817713. The next prime is 113185817791. The reversal of 113185817761 is 167718581311.

It is a happy number.

The square root of 113185817761 is 336431.

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

It can be written as a sum of positive squares in only one way, i.e., 108747593361 + 4438224400 = 329769^2 + 66620^2 .

It is not a de Polignac number, because 113185817761 - 2¹⁷ = 113185686689 is a prime.

It is a super-2 number, since 2×113185817761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113185817791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33977866 + ... + 33981196.

Almost surely, 2^113185817761 is an apocalyptic number.

113185817761 is the 336431-st square number.

113185817761 is the 168216-th centered octagonal number.

It is an amenable number.

113185817761 is a deficient number, since it is larger than the sum of its proper divisors (1166076818).

113185817761 is an frugal number, since it uses more digits than its factorization.

113185817761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 3432 counting only the distinct ones).

The product of its digits is 282240, while the sum is 49.

Multiplying 113185817761 by its sum of digits (49), we get a square (5546105070289 = 2355017²).

The spelling of 113185817761 in words is "one hundred thirteen billion, one hundred eighty-five million, eight hundred seventeen thousand, seven hundred sixty-one".