81893268900 has 81 divisors (see below), whose sum is σ = 256716814081. Its totient is φ = 21835915680.

The previous prime is 81893268889. The next prime is 81893268917. The reversal of 81893268900 is 986239818.

It is a happy number.

The square root of 81893268900 is 286170.

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., 29481576804 + 52411692096 = 171702^2 + 228936^2 .

It is a super-2 number, since 2×81893268900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8580331 + ... + 8589869.

Almost surely, 2^81893268900 is an apocalyptic number.

81893268900 is the 286170-th square number.

It is an amenable number.

81893268900 is an abundant number, since it is smaller than the sum of its proper divisors (174823545181).

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

81893268900 is an equidigital number, since it uses as much as digits as its factorization.

81893268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19098 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 81893268900 in words is "eighty-one billion, eight hundred ninety-three million, two hundred sixty-eight thousand, nine hundred".