81892124224 has 21 divisors (see below), whose sum is σ = 162509227051. Its totient is φ = 40944917440.

The previous prime is 81892124213. The next prime is 81892124231. The reversal of 81892124224 is 42242129818.

The square root of 81892124224 is 286168.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2271459 + ... + 2307229.

Almost surely, 2^81892124224 is an apocalyptic number.

81892124224 is the 286168-th square number.

It is an amenable number.

81892124224 is a deficient number, since it is larger than the sum of its proper divisors (80617102827).

81892124224 is an frugal number, since it uses more digits than its factorization.

81892124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71554 (or 35773 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

It can be divided in two parts, 81892 and 124224, that added together give a square (206116 = 454²).

The spelling of 81892124224 in words is "eighty-one billion, eight hundred ninety-two million, one hundred twenty-four thousand, two hundred twenty-four".