81933337600 has 99 divisors (see below), whose sum is σ = 203209049127. Its totient is φ = 32755015680.

The previous prime is 81933337571. The next prime is 81933337637. The reversal of 81933337600 is 673333918.

The square root of 81933337600 is 286240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12810617856 + 69122719744 = 113184^2 + 262912^2 .

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 8 ways as a sum of consecutive naturals, for example, 45797506 + ... + 45799294.

Almost surely, 2^81933337600 is an apocalyptic number.

81933337600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

81933337600 is the 286240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81933337600

81933337600 is an abundant number, since it is smaller than the sum of its proper divisors (121275711527).

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

81933337600 is an frugal number, since it uses more digits than its factorization.

81933337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The spelling of 81933337600 in words is "eighty-one billion, nine hundred thirty-three million, three hundred thirty-seven thousand, six hundred".