83664713184 has 192 divisors, whose sum is σ = 239404999680. Its totient is φ = 25429800960.

The previous prime is 83664713179. The next prime is 83664713203. The reversal of 83664713184 is 48131746638.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58629079 + ... + 58630505.

It is an arithmetic number, because the mean of its divisors is an integer number (1246901040).

Almost surely, 2^83664713184 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 83664713184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119702499840).

83664713184 is an abundant number, since it is smaller than the sum of its proper divisors (155740286496).

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

83664713184 is a wasteful number, since it uses less digits than its factorization.

83664713184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1985 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 83664713184 in words is "eighty-three billion, six hundred sixty-four million, seven hundred thirteen thousand, one hundred eighty-four".