82274890896 has 405 divisors, whose sum is σ = 264401133451. Its totient is φ = 23864755200.

The previous prime is 82274890891. The next prime is 82274890903. The reversal of 82274890896 is 69809847228.

The square root of 82274890896 is 286836.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8907584400 + 73367306496 = 94380^2 + 270864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82274890891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1552356406 + ... + 1552356458.

Almost surely, 2^82274890896 is an apocalyptic number.

82274890896 is the 286836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82274890896

82274890896 is an abundant number, since it is smaller than the sum of its proper divisors (182126242555).

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

82274890896 is a wasteful number, since it uses less digits than its factorization.

82274890896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 82274890896 in words is "eighty-two billion, two hundred seventy-four million, eight hundred ninety thousand, eight hundred ninety-six".