123416688253248 has 448 divisors, whose sum is σ = 404224939722240. Its totient is φ = 36681320448000.

The previous prime is 123416688253223. The next prime is 123416688253279. The reversal of 123416688253248 is 842352886614321.

123416688253248 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 66 + 88 + 253 + 248 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92360061 + ... + 93686787.

It is an arithmetic number, because the mean of its divisors is an integer number (902287811880).

Almost surely, 2^{123416688253248} is an apocalyptic number.

123416688253248 is a gapful number since it is divisible by the number (18) 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 123416688253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112469861120).

123416688253248 is an abundant number, since it is smaller than the sum of its proper divisors (280808251468992).

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

123416688253248 is a wasteful number, since it uses less digits than its factorization.

123416688253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326903 (or 1326887 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 123416688253248 in words is "one hundred twenty-three trillion, four hundred sixteen billion, six hundred eighty-eight million, two hundred fifty-three thousand, two hundred forty-eight".