81348502586736 has 640 divisors, whose sum is σ = 282614654361600. Its totient is φ = 19523791687680.

The previous prime is 81348502586719. The next prime is 81348502586863. The reversal of 81348502586736 is 63768520584318.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 2140900090 + ... + 2140938086.

It is an arithmetic number, because the mean of its divisors is an integer number (441585397440).

Almost surely, 2^{81348502586736} is an apocalyptic number.

81348502586736 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81348502586736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141307327180800).

81348502586736 is an abundant number, since it is smaller than the sum of its proper divisors (201266151774864).

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

81348502586736 is a wasteful number, since it uses less digits than its factorization.

81348502586736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38797 (or 38791 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 81348502586736 in words is "eighty-one trillion, three hundred forty-eight billion, five hundred two million, five hundred eighty-six thousand, seven hundred thirty-six".