392512274064 has 105 divisors (see below), whose sum is σ = 1140413785849. Its totient is φ = 130814870400.

The previous prime is 392512273999. The next prime is 392512274071. The reversal of 392512274064 is 460472215293.

The square root of 392512274064 is 626508.

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

392512274064 is a `hidden beast` number, since 3 + 9 + 2 + 512 + 2 + 74 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 385775147664 + 6737126400 = 621108^2 + 82080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 67659964 + ... + 67665764.

Almost surely, 2^392512274064 is an apocalyptic number.

392512274064 is the 626508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392512274064

392512274064 is an abundant number, since it is smaller than the sum of its proper divisors (747901511785).

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

392512274064 is an frugal number, since it uses more digits than its factorization.

392512274064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11628 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 392512274064 in words is "three hundred ninety-two billion, five hundred twelve million, two hundred seventy-four thousand, sixty-four".