81416580319344 has 160 divisors (see below), whose sum is σ = 222642612817920. Its totient is φ = 25602564556800.

The previous prime is 81416580319339. The next prime is 81416580319351. The reversal of 81416580319344 is 44391308561418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5073234 + ... + 13732110.

It is an arithmetic number, because the mean of its divisors is an integer number (1391516330112).

Almost surely, 2^{81416580319344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81416580319344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321306408960).

81416580319344 is an abundant number, since it is smaller than the sum of its proper divisors (141226032498576).

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

81416580319344 is a wasteful number, since it uses less digits than its factorization.

81416580319344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659079 (or 8659073 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 81416580319344 in words is "eighty-one trillion, four hundred sixteen billion, five hundred eighty million, three hundred nineteen thousand, three hundred forty-four".