123856132624 has 45 divisors (see below), whose sum is σ = 279172448877. Its totient is φ = 53076976512.

The previous prime is 123856132619. The next prime is 123856132667. The reversal of 123856132624 is 426231658321.

The square root of 123856132624 is 351932.

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

It can be written as a sum of positive squares in only one way, i.e., 122872683024 + 983449600 = 350532^2 + 31360^2 .

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 8 ways as a sum of consecutive naturals, for example, 9847812 + ... + 9860380.

Almost surely, 2^123856132624 is an apocalyptic number.

123856132624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123856132624 is the 351932-nd square number.

It is an amenable number.

123856132624 is an abundant number, since it is smaller than the sum of its proper divisors (155316316253).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123856132624 is an frugal number, since it uses more digits than its factorization.

123856132624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25160 (or 12578 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The spelling of 123856132624 in words is "one hundred twenty-three billion, eight hundred fifty-six million, one hundred thirty-two thousand, six hundred twenty-four".