123747269430625 has 15 divisors (see below), whose sum is σ = 154634935400517. Its totient is φ = 98997593061000.

The previous prime is 123747269430611. The next prime is 123747269430637. The reversal of 123747269430625 is 526034962747321.

The square root of 123747269430625 is 11124175.

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 9701785923361 + 114045483507264 = 3114769^2 + 10679208^2 .

It is not a de Polignac number, because 123747269430625 - 2¹⁷ = 123747269299553 is a prime.

It is a super-2 number, since 2×123747269430625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 277881892 + ... + 278326858.

Almost surely, 2^{123747269430625} is an apocalyptic number.

123747269430625 is the 11124175-th square number.

123747269430625 is the 5562088-th centered octagonal number.

It is an amenable number.

123747269430625 is a deficient number, since it is larger than the sum of its proper divisors (30887665969892).

123747269430625 is an frugal number, since it uses more digits than its factorization.

123747269430625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889954 (or 444972 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 61.

The spelling of 123747269430625 in words is "one hundred twenty-three trillion, seven hundred forty-seven billion, two hundred sixty-nine million, four hundred thirty thousand, six hundred twenty-five".