81471426624 has 189 divisors, whose sum is σ = 271809342207. Its totient is φ = 23263849728.

The previous prime is 81471426611. The next prime is 81471426667. The reversal of 81471426624 is 42662417418.

The square root of 81471426624 is 285432.

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

81471426624 is a `hidden beast` number, since 8 + 1 + 4 + 7 + 14 + 2 + 6 + 624 = 666.

It is a super-2 number, since 2×81471426624² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81471426624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47951727 + ... + 47953425.

Almost surely, 2^81471426624 is an apocalyptic number.

81471426624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

81471426624 is the 285432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81471426624

81471426624 is an abundant number, since it is smaller than the sum of its proper divisors (190337915583).

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

81471426624 is an equidigital number, since it uses as much as digits as its factorization.

81471426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 1711 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 81471426624 in words is "eighty-one billion, four hundred seventy-one million, four hundred twenty-six thousand, six hundred twenty-four".