81841695289600 has 81 divisors (see below), whose sum is σ = 202572774970293. Its totient is φ = 32736388623360.

The previous prime is 81841695289583. The next prime is 81841695289663. The reversal of 81841695289600 is 698259614818.

The square root of 81841695289600 is 9046640.

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., 29463010304256 + 52378684985344 = 5427984^2 + 7237312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 723674659 + ... + 723787741.

Almost surely, 2^{81841695289600} is an apocalyptic number.

81841695289600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

81841695289600 is the 9046640-th square number.

It is an amenable number.

81841695289600 is an abundant number, since it is smaller than the sum of its proper divisors (120731079680693).

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

81841695289600 is an frugal number, since it uses more digits than its factorization.

81841695289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226192 (or 113090 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 67.

The spelling of 81841695289600 in words is "eighty-one trillion, eight hundred forty-one billion, six hundred ninety-five million, two hundred eighty-nine thousand, six hundred".