392214112900 has 27 divisors (see below), whose sum is σ = 851118215269. Its totient is φ = 156883140080.

The previous prime is 392214112853. The next prime is 392214112903. The reversal of 392214112900 is 9211412293.

The square root of 392214112900 is 626270.

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., 141197080644 + 251017032256 = 375762^2 + 501016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (392214112903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6231387 + ... + 6294013.

Almost surely, 2^392214112900 is an apocalyptic number.

392214112900 is the 626270-th square number.

It is an amenable number.

392214112900 is an abundant number, since it is smaller than the sum of its proper divisors (458904102369).

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

392214112900 is an frugal number, since it uses more digits than its factorization.

392214112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125268 (or 62634 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 392214112900 in words is "three hundred ninety-two billion, two hundred fourteen million, one hundred twelve thousand, nine hundred".