83009842188 has 144 divisors (see below), whose sum is σ = 242793389664. Its totient is φ = 21879244800.

The previous prime is 83009842187. The next prime is 83009842189. The reversal of 83009842188 is 88124890038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83009842187) and next prime (83009842189).

It is a self number, because there is not a number n which added to its sum of digits gives 83009842188.

It is not an unprimeable number, because it can be changed into a prime (83009842187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21408906 + ... + 21412782.

It is an arithmetic number, because the mean of its divisors is an integer number (1686065206).

Almost surely, 2^83009842188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83009842188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121396694832).

83009842188 is an abundant number, since it is smaller than the sum of its proper divisors (159783547476).

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

83009842188 is a wasteful number, since it uses less digits than its factorization.

83009842188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 83009842188 in words is "eighty-three billion, nine million, eight hundred forty-two thousand, one hundred eighty-eight".