123956805625 has 15 divisors (see below), whose sum is σ = 154907423913. Its totient is φ = 99158403000.

The previous prime is 123956805569. The next prime is 123956805649. The reversal of 123956805625 is 526508659321.

It is a happy number.

The square root of 123956805625 is 352075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9718213561 + 114238592064 = 98581^2 + 337992^2 .

It is not a de Polignac number, because 123956805625 - 2²³ = 123948417017 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8794834 + ... + 8808916.

Almost surely, 2^123956805625 is an apocalyptic number.

123956805625 is the 352075-th square number.

123956805625 is the 176038-th centered octagonal number.

It is an amenable number.

123956805625 is a deficient number, since it is larger than the sum of its proper divisors (30950618288).

123956805625 is an frugal number, since it uses more digits than its factorization.

123956805625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28186 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 123956805625 in words is "one hundred twenty-three billion, nine hundred fifty-six million, eight hundred five thousand, six hundred twenty-five".