83864236032 has 416 divisors, whose sum is σ = 261063552000. Its totient is φ = 26568622080.

The previous prime is 83864236031. The next prime is 83864236037. The reversal of 83864236032 is 23063246838.

83864236032 is a `hidden beast` number, since 8 + 38 + 6 + 4 + 2 + 3 + 603 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (83864236031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253366107 + ... + 253366437.

Almost surely, 2^83864236032 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 83864236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130531776000).

83864236032 is an abundant number, since it is smaller than the sum of its proper divisors (177199315968).

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

83864236032 is a wasteful number, since it uses less digits than its factorization.

83864236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 83864236032 in words is "eighty-three billion, eight hundred sixty-four million, two hundred thirty-six thousand, thirty-two".