12342592205064 has 320 divisors, whose sum is σ = 42033603585600. Its totient is φ = 3334896230400.

The previous prime is 12342592205039. The next prime is 12342592205071. The reversal of 12342592205064 is 46050229524321.

12342592205064 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 2 + 592 + 2 + 0 + 50 + 6 + 4 = 666.

It is a super-2 number, since 2×12342592205064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 378097 + ... + 4982784.

It is an arithmetic number, because the mean of its divisors is an integer number (131355011205).

Almost surely, 2^{12342592205064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342592205064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016801792800).

12342592205064 is an abundant number, since it is smaller than the sum of its proper divisors (29691011380536).

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

12342592205064 is a wasteful number, since it uses less digits than its factorization.

12342592205064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360946 (or 5360933 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 12342592205064 in words is "twelve trillion, three hundred forty-two billion, five hundred ninety-two million, two hundred five thousand, sixty-four".