83165486208 has 512 divisors, whose sum is σ = 275311872000. Its totient is φ = 21706113024.

The previous prime is 83165486203. The next prime is 83165486221. The reversal of 83165486208 is 80268456138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (83165486203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293870835 + ... + 293871117.

It is an arithmetic number, because the mean of its divisors is an integer number (537718500).

Almost surely, 2^83165486208 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 83165486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137655936000).

83165486208 is an abundant number, since it is smaller than the sum of its proper divisors (192146385792).

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

83165486208 is a wasteful number, since it uses less digits than its factorization.

83165486208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 83165486208 in words is "eighty-three billion, one hundred sixty-five million, four hundred eighty-six thousand, two hundred eight".