12577133646 has 192 divisors, whose sum is σ = 34669679616. Its totient is φ = 3200601600.

The previous prime is 12577133633. The next prime is 12577133707. The reversal of 12577133646 is 64633177521.

12577133646 is a `hidden beast` number, since 1 + 2 + 577 + 1 + 3 + 36 + 46 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19931751 + ... + 19932381.

It is an arithmetic number, because the mean of its divisors is an integer number (180571248).

Almost surely, 2^12577133646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12577133646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334839808).

12577133646 is an abundant number, since it is smaller than the sum of its proper divisors (22092545970).

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

12577133646 is a wasteful number, since it uses less digits than its factorization.

12577133646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 924 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 12577133646 in words is "twelve billion, five hundred seventy-seven million, one hundred thirty-three thousand, six hundred forty-six".