82213833744 has 120 divisors (see below), whose sum is σ = 264629144000. Its totient is φ = 23340006144.

The previous prime is 82213833683. The next prime is 82213833827. The reversal of 82213833744 is 44733831228.

82213833744 is a `hidden beast` number, since 8 + 221 + 383 + 3 + 7 + 44 = 666.

It is a super-2 number, since 2×82213833744² (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 82213833744.

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 23 ways as a sum of consecutive naturals, for example, 101494 + ... + 418005.

Almost surely, 2^82213833744 is an apocalyptic number.

82213833744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82213833744 is an abundant number, since it is smaller than the sum of its proper divisors (182415310256).

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

82213833744 is a wasteful number, since it uses less digits than its factorization.

82213833744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519677 (or 519668 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 82213833744 in words is "eighty-two billion, two hundred thirteen million, eight hundred thirty-three thousand, seven hundred forty-four".