12577456116 has 60 divisors (see below), whose sum is σ = 32951362752. Its totient is φ = 4183380432.

The previous prime is 12577456079. The next prime is 12577456117. The reversal of 12577456116 is 61165477521.

12577456116 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 74 + 561 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577456117) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 108091 + ... + 191933.

Almost surely, 2^12577456116 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 12577456116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475681376).

12577456116 is an abundant number, since it is smaller than the sum of its proper divisors (20373906636).

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

12577456116 is a wasteful number, since it uses less digits than its factorization.

12577456116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84322 (or 84311 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 12577456116 in words is "twelve billion, five hundred seventy-seven million, four hundred fifty-six thousand, one hundred sixteen".