82383809616 has 320 divisors, whose sum is σ = 256198602240. Its totient is φ = 25251471360.

The previous prime is 82383809587. The next prime is 82383809617. The reversal of 82383809616 is 61690838328.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82383809617) 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 63 ways as a sum of consecutive naturals, for example, 77500701 + ... + 77501763.

It is an arithmetic number, because the mean of its divisors is an integer number (800620632).

Almost surely, 2^82383809616 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 82383809616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128099301120).

82383809616 is an abundant number, since it is smaller than the sum of its proper divisors (173814792624).

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

82383809616 is a wasteful number, since it uses less digits than its factorization.

82383809616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 82383809616 in words is "eighty-two billion, three hundred eighty-three million, eight hundred nine thousand, six hundred sixteen".