47192783121 has 81 divisors (see below), whose sum is σ = 77943919963. Its totient is φ = 27493767840.

The previous prime is 47192783111. The next prime is 47192783149. The reversal of 47192783121 is 12138729174.

The square root of 47192783121 is 217239.

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

47192783121 is a `hidden beast` number, since 471 + 92 + 7 + 83 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24746750721 + 22446032400 = 157311^2 + 149820^2 .

It is not a de Polignac number, because 47192783121 - 2⁷ = 47192782993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47192783111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207897610 + ... + 207897836.

Almost surely, 2^47192783121 is an apocalyptic number.

47192783121 is the 217239-th square number.

47192783121 is the 108620-th centered octagonal number.

It is an amenable number.

47192783121 is a deficient number, since it is larger than the sum of its proper divisors (30751136842).

47192783121 is a wasteful number, since it uses less digits than its factorization.

47192783121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 47192783121 in words is "forty-seven billion, one hundred ninety-two million, seven hundred eighty-three thousand, one hundred twenty-one".