123494434968025 has 81 divisors (see below), whose sum is σ = 170154685772253. Its totient is φ = 88845542438400.

The previous prime is 123494434967987. The next prime is 123494434968041. The reversal of 123494434968025 is 520869434494321.

The square root of 123494434968025 is 11112805.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4540773166281 + 118953661801744 = 2130909^2 + 10906588^2 .

It is not a de Polignac number, because 123494434968025 - 2¹¹ = 123494434965977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 59286813634 + ... + 59286815716.

Almost surely, 2^{123494434968025} is an apocalyptic number.

123494434968025 is the 11112805-th square number.

123494434968025 is the 5556403-rd centered octagonal number.

It is an amenable number.

123494434968025 is a deficient number, since it is larger than the sum of its proper divisors (46660250804228).

123494434968025 is an frugal number, since it uses more digits than its factorization.

123494434968025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 64.

The spelling of 123494434968025 in words is "one hundred twenty-three trillion, four hundred ninety-four billion, four hundred thirty-four million, nine hundred sixty-eight thousand, twenty-five".