123544442345025 has 72 divisors (see below), whose sum is σ = 228315978437376. Its totient is φ = 58859883014400.

The previous prime is 123544442345011. The next prime is 123544442345053. The reversal of 123544442345025 is 520543244445321.

It is not a de Polignac number, because 123544442345025 - 2¹⁵ = 123544442312257 is a prime.

It is a super-2 number, since 2×123544442345025² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 156818302 + ... + 157604151.

Almost surely, 2^{123544442345025} is an apocalyptic number.

123544442345025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123544442345025 is a deficient number, since it is larger than the sum of its proper divisors (104771536092351).

123544442345025 is a wasteful number, since it uses less digits than its factorization.

123544442345025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314422523 (or 314422505 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 48.

The spelling of 123544442345025 in words is "one hundred twenty-three trillion, five hundred forty-four billion, four hundred forty-two million, three hundred forty-five thousand, twenty-five".