82333415844 has 135 divisors (see below), whose sum is σ = 227431308027. Its totient is φ = 25969036752.

The previous prime is 82333415833. The next prime is 82333415867. The reversal of 82333415844 is 44851433328.

The square root of 82333415844 is 286938.

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

82333415844 is a `hidden beast` number, since 8 + 2 + 33 + 34 + 1 + 584 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82333415844.

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, 98132377 + ... + 98133215.

Almost surely, 2^82333415844 is an apocalyptic number.

82333415844 is the 286938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82333415844

82333415844 is an abundant number, since it is smaller than the sum of its proper divisors (145097892183).

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

82333415844 is an equidigital number, since it uses as much as digits as its factorization.

82333415844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 863 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 82333415844 in words is "eighty-two billion, three hundred thirty-three million, four hundred fifteen thousand, eight hundred forty-four".