123930040317769 has 81 divisors (see below), whose sum is σ = 148063473271623. Its totient is φ = 103427534312256.

The previous prime is 123930040317739. The next prime is 123930040317781. The reversal of 123930040317769 is 967713040039321.

The square root of 123930040317769 is 11132387.

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., 23797196228169 + 100132844089600 = 4878237^2 + 10006640^2 .

It is not a de Polignac number, because 123930040317769 - 2⁵ = 123930040317737 is a prime.

It is a super-2 number, since 2×123930040317769² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123930040317739) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 742096049724 + ... + 742096049890.

Almost surely, 2^{123930040317769} is an apocalyptic number.

123930040317769 is the 11132387-th square number.

123930040317769 is the 5566194-th centered octagonal number.

It is an amenable number.

123930040317769 is a deficient number, since it is larger than the sum of its proper divisors (24133432953854).

123930040317769 is an frugal number, since it uses more digits than its factorization.

123930040317769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The spelling of 123930040317769 in words is "one hundred twenty-three trillion, nine hundred thirty billion, forty million, three hundred seventeen thousand, seven hundred sixty-nine".