12658050064 has 45 divisors (see below), whose sum is σ = 26967747261. Its totient is φ = 5751408960.

The previous prime is 12658050061. The next prime is 12658050101. The reversal of 12658050064 is 46005085621.

The square root of 12658050064 is 112508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5431690000 + 7226360064 = 73700^2 + 85008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12658050061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4949074 + ... + 4951630.

Almost surely, 2^12658050064 is an apocalyptic number.

12658050064 is the 112508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12658050064

12658050064 is an abundant number, since it is smaller than the sum of its proper divisors (14309697197).

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

12658050064 is an frugal number, since it uses more digits than its factorization.

12658050064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Multiplying 12658050064 by its product of nonzero digits (57600), we get a square (729103683686400 = 27001920²).

The spelling of 12658050064 in words is "twelve billion, six hundred fifty-eight million, fifty thousand, sixty-four".