81124463775744 has 585 divisors, whose sum is σ = 256079586131523. Its totient is φ = 25587123830784.

The previous prime is 81124463775737. The next prime is 81124463775787. The reversal of 81124463775744 is 44757736442118.

The square root of 81124463775744 is 9006912.

It is a perfect power (a square), and thus also a powerful number.

81124463775744 is a `hidden beast` number, since 8 + 1 + 1 + 24 + 4 + 6 + 37 + 7 + 574 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 98571644517 + ... + 98571645339.

Almost surely, 2^{81124463775744} is an apocalyptic number.

81124463775744 is the 9006912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81124463775744

81124463775744 is an abundant number, since it is smaller than the sum of its proper divisors (174955122355779).

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

81124463775744 is an frugal number, since it uses more digits than its factorization.

81124463775744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 847 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 81124463775744 in words is "eighty-one trillion, one hundred twenty-four billion, four hundred sixty-three million, seven hundred seventy-five thousand, seven hundred forty-four".