81039532822416 has 675 divisors, whose sum is σ = 275896665476289. Its totient is φ = 22898129780736.

The previous prime is 81039532822411. The next prime is 81039532822427. The reversal of 81039532822416 is 61422823593018.

The square root of 81039532822416 is 9002196.

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

81039532822416 is a `hidden beast` number, since 8 + 1 + 0 + 3 + 9 + 532 + 82 + 24 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79783124979600 + 1256407842816 = 8932140^2 + 1120896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (81039532822411) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 315328921360 + ... + 315328921616.

Almost surely, 2^{81039532822416} is an apocalyptic number.

81039532822416 is the 9002196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81039532822416

81039532822416 is an abundant number, since it is smaller than the sum of its proper divisors (194857132653873).

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

81039532822416 is an equidigital number, since it uses as much as digits as its factorization.

81039532822416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 81039532822416 in words is "eighty-one trillion, thirty-nine billion, five hundred thirty-two million, eight hundred twenty-two thousand, four hundred sixteen".