123045631889696 has 96 divisors (see below), whose sum is σ = 248370784930800. Its totient is φ = 59982967848960.

The previous prime is 123045631889669. The next prime is 123045631889723. The reversal of 123045631889696 is 696988136540321.

It is an interprime number because it is at equal distance from previous prime (123045631889669) and next prime (123045631889723).

It can be written as a sum of positive squares in 8 ways, for example, as 58368072010000 + 64677559879696 = 7639900^2 + 8042236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202044020 + ... + 202652108.

Almost surely, 2^{123045631889696} is an apocalyptic number.

123045631889696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123045631889696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185392465400).

123045631889696 is an abundant number, since it is smaller than the sum of its proper divisors (125325153041104).

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

123045631889696 is a wasteful number, since it uses less digits than its factorization.

123045631889696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608902 (or 608894 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 71.

The spelling of 123045631889696 in words is "one hundred twenty-three trillion, forty-five billion, six hundred thirty-one million, eight hundred eighty-nine thousand, six hundred ninety-six".