81293882081344 has 21 divisors (see below), whose sum is σ = 161317690389247. Its totient is φ = 40646904975424.

The previous prime is 81293882081339. The next prime is 81293882081369. The reversal of 81293882081344 is 44318028839218.

It is a happy number.

The square root of 81293882081344 is 9016312.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 71566977 + ... + 72694015.

Almost surely, 2^{81293882081344} is an apocalyptic number.

81293882081344 is the 9016312-nd square number.

It is an amenable number.

81293882081344 is a deficient number, since it is larger than the sum of its proper divisors (80023808307903).

81293882081344 is an frugal number, since it uses more digits than its factorization.

81293882081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254090 (or 1127041 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 61.

The spelling of 81293882081344 in words is "eighty-one trillion, two hundred ninety-three billion, eight hundred eighty-two million, eighty-one thousand, three hundred forty-four".