123593964320 has 72 divisors (see below), whose sum is σ = 298939856796. Its totient is φ = 48287758848.

The previous prime is 123593964313. The next prime is 123593964337. The reversal of 123593964320 is 23469395321.

It can be written as a sum of positive squares in 2 ways, for example, as 106461248656 + 17132715664 = 326284^2 + 130892^2 .

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 11 ways as a sum of consecutive naturals, for example, 86954 + ... + 504726.

Almost surely, 2^123593964320 is an apocalyptic number.

123593964320 is a gapful number since it is divisible by the number (10) 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 123593964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149469928398).

123593964320 is an abundant number, since it is smaller than the sum of its proper divisors (175345892476).

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

123593964320 is an equidigital number, since it uses as much as digits as its factorization.

123593964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417874 (or 417823 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 47.

The spelling of 123593964320 in words is "one hundred twenty-three billion, five hundred ninety-three million, nine hundred sixty-four thousand, three hundred twenty".