123746081152896 has 512 divisors, whose sum is σ = 414425938636800. Its totient is φ = 36130727559168.

The previous prime is 123746081152853. The next prime is 123746081152909. The reversal of 123746081152896 is 698251180647321.

It is a happy number.

123746081152896 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 4 + 6 + 0 + 8 + 11 + 528 + 96 = 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, 48760441 + ... + 51235463.

It is an arithmetic number, because the mean of its divisors is an integer number (809425661400).

It is a 1-persistent number, because it is pandigital, but 2⋅123746081152896 = 247492162305792 is not.

Almost surely, 2^{123746081152896} is an apocalyptic number.

123746081152896 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 123746081152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207212969318400).

123746081152896 is an abundant number, since it is smaller than the sum of its proper divisors (290679857483904).

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

123746081152896 is a wasteful number, since it uses less digits than its factorization.

123746081152896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475123 (or 2475105 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 123746081152896 in words is "one hundred twenty-three trillion, seven hundred forty-six billion, eighty-one million, one hundred fifty-two thousand, eight hundred ninety-six".