83091932334 has 96 divisors (see below), whose sum is σ = 192812256000. Its totient is φ = 25803671040.

The previous prime is 83091932321. The next prime is 83091932437. The reversal of 83091932334 is 43323919038.

83091932334 is a `hidden beast` number, since 8 + 309 + 1 + 9 + 3 + 2 + 334 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83091932334.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5640162 + ... + 5654874.

It is an arithmetic number, because the mean of its divisors is an integer number (2008461000).

Almost surely, 2^83091932334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83091932334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96406128000).

83091932334 is an abundant number, since it is smaller than the sum of its proper divisors (109720323666).

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

83091932334 is a wasteful number, since it uses less digits than its factorization.

83091932334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15130 (or 15127 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 83091932334 in words is "eighty-three billion, ninety-one million, nine hundred thirty-two thousand, three hundred thirty-four".