123429255625 has 135 divisors (see below), whose sum is σ = 178385197683. Its totient is φ = 85329816000.

The previous prime is 123429255623. The next prime is 123429255643. The reversal of 123429255625 is 526552924321.

The square root of 123429255625 is 351325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 121914800569 + 1514455056 = 349163^2 + 38916^2 .

It is not a de Polignac number, because 123429255625 - 2¹ = 123429255623 is a prime.

It is a super-2 number, since 2×123429255625² (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 (123429255623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2626154352 + ... + 2626154398.

Almost surely, 2^123429255625 is an apocalyptic number.

123429255625 is the 351325-th square number.

123429255625 is the 175663-rd centered octagonal number.

It is an amenable number.

123429255625 is a deficient number, since it is larger than the sum of its proper divisors (54955942058).

123429255625 is an frugal number, since it uses more digits than its factorization.

123429255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 123429255625 in words is "one hundred twenty-three billion, four hundred twenty-nine million, two hundred fifty-five thousand, six hundred twenty-five".