12348607335264 has 192 divisors, whose sum is σ = 38533908672000. Its totient is φ = 3835632683520.

The previous prime is 12348607335227. The next prime is 12348607335293. The reversal of 12348607335264 is 46253370684321.

12348607335264 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 8 + 607 + 3 + 3 + 5 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12348607335264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5164444 + ... + 7167195.

It is an arithmetic number, because the mean of its divisors is an integer number (200697441000).

Almost surely, 2^{12348607335264} is an apocalyptic number.

It is an amenable number.

12348607335264 is an abundant number, since it is smaller than the sum of its proper divisors (26185301336736).

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

12348607335264 is a wasteful number, since it uses less digits than its factorization.

12348607335264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331738 (or 12331724 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 12348607335264 in words is "twelve trillion, three hundred forty-eight billion, six hundred seven million, three hundred thirty-five thousand, two hundred sixty-four".