83584230912 has 960 divisors, whose sum is σ = 323497152000. Its totient is φ = 20806336512.

The previous prime is 83584230859. The next prime is 83584230923. The reversal of 83584230912 is 21903248538.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310721914 + ... + 310722182.

It is an arithmetic number, because the mean of its divisors is an integer number (336976200).

Almost surely, 2^83584230912 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 83584230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161748576000).

83584230912 is an abundant number, since it is smaller than the sum of its proper divisors (239912921088).

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

83584230912 is a wasteful number, since it uses less digits than its factorization.

83584230912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83584230912 in words is "eighty-three billion, five hundred eighty-four million, two hundred thirty thousand, nine hundred twelve".