123993585399321 has 36 divisors (see below), whose sum is σ = 199636744769280. Its totient is φ = 74089210179600.

The previous prime is 123993585399293. The next prime is 123993585399337.

123993585399321 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 9 + 3 + 58 + 539 + 9 + 32 + 1 = 666.

123993585399321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123993585399321 - 2⁷ = 123993585399193 is a prime.

It is a super-2 number, since 2×123993585399321² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123993585399321.

It is not an unprimeable number, because it can be changed into a prime (123993585399371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801753961 + ... + 801908598.

It is an arithmetic number, because the mean of its divisors is an integer number (5545465132480).

Almost surely, 2^{123993585399321} is an apocalyptic number.

123993585399321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123993585399321 is a deficient number, since it is larger than the sum of its proper divisors (75643159369959).

123993585399321 is a wasteful number, since it uses less digits than its factorization.

123993585399321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603662658 (or 1603662644 counting only the distinct ones).

The product of its digits is 425152800, while the sum is 72.

The spelling of 123993585399321 in words is "one hundred twenty-three trillion, nine hundred ninety-three billion, five hundred eighty-five million, three hundred ninety-nine thousand, three hundred twenty-one".