12394635264 has 672 divisors, whose sum is σ = 44163325440. Its totient is φ = 3303014400.

The previous prime is 12394635251. The next prime is 12394635277. The reversal of 12394635264 is 46253649321.

12394635264 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 4 + 635 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12394635251) and next prime (12394635277).

Its product of digits (933120) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399826929 + ... + 399826959.

Almost surely, 2^12394635264 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 12394635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081662720).

12394635264 is an abundant number, since it is smaller than the sum of its proper divisors (31768690176).

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

12394635264 is a wasteful number, since it uses less digits than its factorization.

12394635264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 12394635264 in words is "twelve billion, three hundred ninety-four million, six hundred thirty-five thousand, two hundred sixty-four".