125959688464 has 45 divisors (see below), whose sum is σ = 247253940453. Its totient is φ = 62162846016.

The previous prime is 125959688417. The next prime is 125959688473. The reversal of 125959688464 is 464886959521.

The square root of 125959688464 is 354908.

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., 58899406864 + 67060281600 = 242692^2 + 258960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125959688464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 117828922 + ... + 117829990.

Almost surely, 2^125959688464 is an apocalyptic number.

125959688464 is the 354908-th square number.

It is an amenable number.

125959688464 is a deficient number, since it is larger than the sum of its proper divisors (121294251989).

125959688464 is an frugal number, since it uses more digits than its factorization.

125959688464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 1154 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 67.

The spelling of 125959688464 in words is "one hundred twenty-five billion, nine hundred fifty-nine million, six hundred eighty-eight thousand, four hundred sixty-four".