123936270641568 has 960 divisors, whose sum is σ = 467760620371968. Its totient is φ = 31257937428480.

The previous prime is 123936270641563. The next prime is 123936270641581. The reversal of 123936270641568 is 865146072639321.

123936270641568 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 3 + 6 + 2 + 7 + 0 + 64 + 1 + 568 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (123936270641563) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1191264880 + ... + 1191368912.

It is a 1-persistent number, because it is pandigital, but 2⋅123936270641568 = 247872541283136 is not.

Almost surely, 2^{123936270641568} is an apocalyptic number.

123936270641568 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 123936270641568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233880310185984).

123936270641568 is an abundant number, since it is smaller than the sum of its proper divisors (343824349730400).

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

123936270641568 is a wasteful number, since it uses less digits than its factorization.

123936270641568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104247 (or 104230 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 123936270641568 in words is "one hundred twenty-three trillion, nine hundred thirty-six billion, two hundred seventy million, six hundred forty-one thousand, five hundred sixty-eight".