81092813824 has 99 divisors (see below), whose sum is σ = 178403630041. Its totient is φ = 36814807040.

The previous prime is 81092813777. The next prime is 81092813833. The reversal of 81092813824 is 42831829018.

The square root of 81092813824 is 284768.

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., 71378740224 + 9714073600 = 267168^2 + 98560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100237932 + ... + 100238740.

Almost surely, 2^81092813824 is an apocalyptic number.

81092813824 is the 284768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81092813824

81092813824 is an abundant number, since it is smaller than the sum of its proper divisors (97310816217).

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

81092813824 is an frugal number, since it uses more digits than its factorization.

81092813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

It can be divided in two parts, 81092 and 813824, that added together give a square (894916 = 946²).

The spelling of 81092813824 in words is "eighty-one billion, ninety-two million, eight hundred thirteen thousand, eight hundred twenty-four".