81873810496 has 63 divisors (see below), whose sum is σ = 166217083237. Its totient is φ = 40013258240.

The previous prime is 81873810451. The next prime is 81873810497. The reversal of 81873810496 is 69401837818.

The square root of 81873810496 is 286136.

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., 215032896 + 81658777600 = 14664^2 + 285760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81873810497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107586756 + ... + 107587516.

Almost surely, 2^81873810496 is an apocalyptic number.

81873810496 is the 286136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81873810496

81873810496 is an abundant number, since it is smaller than the sum of its proper divisors (84343272741).

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

81873810496 is an frugal number, since it uses more digits than its factorization.

81873810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 81873810496 in words is "eighty-one billion, eight hundred seventy-three million, eight hundred ten thousand, four hundred ninety-six".