83835468032 has 72 divisors (see below), whose sum is σ = 174023216640. Its totient is φ = 40259717120.

The previous prime is 83835467977. The next prime is 83835468053. The reversal of 83835468032 is 23086453838.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1388423 + ... + 1447545.

It is an arithmetic number, because the mean of its divisors is an integer number (2416989120).

Almost surely, 2^83835468032 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 83835468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87011608320).

83835468032 is an abundant number, since it is smaller than the sum of its proper divisors (90187748608).

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

83835468032 is a wasteful number, since it uses less digits than its factorization.

83835468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59359 (or 59345 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 83835468032 in words is "eighty-three billion, eight hundred thirty-five million, four hundred sixty-eight thousand, thirty-two".