81443741524992 has 1232 divisors, whose sum is σ = 304902189868032. Its totient is φ = 21114669219840.

The previous prime is 81443741524963. The next prime is 81443741525009. The reversal of 81443741524992 is 29942514734418.

It is a happy number.

81443741524992 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 374 + 15 + 249 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42707781703 + ... + 42707783609.

Almost surely, 2^{81443741524992} 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 81443741524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152451094934016).

81443741524992 is an abundant number, since it is smaller than the sum of its proper divisors (223458448343040).

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

81443741524992 is a wasteful number, since it uses less digits than its factorization.

81443741524992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2673 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 81443741524992 in words is "eighty-one trillion, four hundred forty-three billion, seven hundred forty-one million, five hundred twenty-four thousand, nine hundred ninety-two".