83506612224 has 288 divisors, whose sum is σ = 261589124160. Its totient is φ = 23618617344.

The previous prime is 83506612193. The next prime is 83506612243. The reversal of 83506612224 is 42221660538.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31007422 + ... + 31010114.

It is an arithmetic number, because the mean of its divisors is an integer number (908295570).

Almost surely, 2^83506612224 is an apocalyptic number.

83506612224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83506612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130794562080).

83506612224 is an abundant number, since it is smaller than the sum of its proper divisors (178082511936).

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

83506612224 is a wasteful number, since it uses less digits than its factorization.

83506612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 83506612224 in words is "eighty-three billion, five hundred six million, six hundred twelve thousand, two hundred twenty-four".