12577234716 has 96 divisors (see below), whose sum is σ = 34408281600. Its totient is φ = 3965005440.

The previous prime is 12577234673. The next prime is 12577234727. The reversal of 12577234716 is 61743277521.

12577234716 is a `hidden beast` number, since 1 + 2 + 577 + 2 + 3 + 4 + 71 + 6 = 666.

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, 192631 + ... + 249521.

It is an arithmetic number, because the mean of its divisors is an integer number (358419600).

Almost surely, 2^12577234716 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 12577234716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204140800).

12577234716 is an abundant number, since it is smaller than the sum of its proper divisors (21831046884).

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

12577234716 is a wasteful number, since it uses less digits than its factorization.

12577234716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57016 (or 57008 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 12577234716 in words is "twelve billion, five hundred seventy-seven million, two hundred thirty-four thousand, seven hundred sixteen".