83166402816 has 216 divisors, whose sum is σ = 277802819840. Its totient is φ = 23435993088.

The previous prime is 83166402793. The next prime is 83166402853. The reversal of 83166402816 is 61820466138.

83166402816 is a `hidden beast` number, since 8 + 3 + 166 + 402 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142025 + ... + 1212663.

Almost surely, 2^83166402816 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 83166402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138901409920).

83166402816 is an abundant number, since it is smaller than the sum of its proper divisors (194636417024).

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

83166402816 is a wasteful number, since it uses less digits than its factorization.

83166402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70741 (or 70724 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83166402816 in words is "eighty-three billion, one hundred sixty-six million, four hundred two thousand, eight hundred sixteen".