292125116196 has 63 divisors (see below), whose sum is σ = 766554386241. Its totient is φ = 97365309984.

The previous prime is 292125116177. The next prime is 292125116197. The reversal of 292125116196 is 691611521292.

The square root of 292125116196 is 540486.

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

292125116196 is a `hidden beast` number, since 2 + 9 + 2 + 1 + 25 + 1 + 1 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 291075356196 + 1049760000 = 539514^2 + 32400^2 .

It is not an unprimeable number, because it can be changed into a prime (292125116197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 29181240 + ... + 29191248.

Almost surely, 2^292125116196 is an apocalyptic number.

292125116196 is the 540486-th square number.

It is an amenable number.

292125116196 is an abundant number, since it is smaller than the sum of its proper divisors (474429270045).

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

292125116196 is an frugal number, since it uses more digits than its factorization.

292125116196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20040 (or 10014 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

It can be divided in two parts, 292125 and 116196, that added together give a square (408321 = 639²).

The spelling of 292125116196 in words is "two hundred ninety-two billion, one hundred twenty-five million, one hundred sixteen thousand, one hundred ninety-six".