81468585860544 has 336 divisors, whose sum is σ = 242681467392000. Its totient is φ = 27098196212736.

The previous prime is 81468585860527. The next prime is 81468585860567. The reversal of 81468585860544 is 44506858586418.

81468585860544 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 8 + 5 + 8 + 5 + 8 + 605 + 4 + 4 = 666.

It is a super-2 number, since 2×81468585860544² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26825347794 + ... + 26825350830.

It is an arithmetic number, because the mean of its divisors is an integer number (722266272000).

Almost surely, 2^{81468585860544} 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 81468585860544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121340733696000).

81468585860544 is an abundant number, since it is smaller than the sum of its proper divisors (161212881531456).

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

81468585860544 is a wasteful number, since it uses less digits than its factorization.

81468585860544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 1179648000, while the sum is 72.

The spelling of 81468585860544 in words is "eighty-one trillion, four hundred sixty-eight billion, five hundred eighty-five million, eight hundred sixty thousand, five hundred forty-four".