81083397455424 has 2835 divisors, whose sum is σ = 320173582893489. Its totient is φ = 19605605160960.

The previous prime is 81083397455383. The next prime is 81083397455453. The reversal of 81083397455424 is 42455479338018.

It is a happy number.

The square root of 81083397455424 is 9004632.

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

81083397455424 is a `hidden beast` number, since 8 + 1 + 0 + 8 + 3 + 3 + 9 + 74 + 554 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11994585422400 + 69088812033024 = 3463320^2 + 8311968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2615593466289 + ... + 2615593466319.

Almost surely, 2^{81083397455424} is an apocalyptic number.

81083397455424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

81083397455424 is the 9004632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81083397455424

81083397455424 is an abundant number, since it is smaller than the sum of its proper divisors (239090185438065).

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

81083397455424 is a wasteful number, since it uses less digits than its factorization.

81083397455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 81083397455424 in words is "eighty-one trillion, eighty-three billion, three hundred ninety-seven million, four hundred fifty-five thousand, four hundred twenty-four".