81468094033080 has 320 divisors, whose sum is σ = 275084109780480. Its totient is φ = 21624989126400.

The previous prime is 81468094033031. The next prime is 81468094033153. The reversal of 81468094033080 is 8033049086418.

81468094033080 is a `hidden beast` number, since 8 + 146 + 8 + 0 + 94 + 0 + 330 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 732498675 + ... + 732609885.

It is an arithmetic number, because the mean of its divisors is an integer number (859637843064).

Almost surely, 2^{81468094033080} 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 81468094033080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137542054890240).

81468094033080 is an abundant number, since it is smaller than the sum of its proper divisors (193616015747400).

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

81468094033080 is a wasteful number, since it uses less digits than its factorization.

81468094033080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112272 (or 112259 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 81468094033080 in words is "eighty-one trillion, four hundred sixty-eight billion, ninety-four million, thirty-three thousand, eighty".