83124264323256 has 256 divisors, whose sum is σ = 225737008358400. Its totient is φ = 25355811926016.

The previous prime is 83124264323231. The next prime is 83124264323257. The reversal of 83124264323256 is 65232346242138.

It is a junction number, because it is equal to n+sod(n) for n = 83124264323199 and 83124264323208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83124264323257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49098796746 + ... + 49098798438.

It is an arithmetic number, because the mean of its divisors is an integer number (881785188900).

Almost surely, 2^{83124264323256} 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 83124264323256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112868504179200).

83124264323256 is an abundant number, since it is smaller than the sum of its proper divisors (142612744035144).

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

83124264323256 is a wasteful number, since it uses less digits than its factorization.

83124264323256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3834 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 51.

The spelling of 83124264323256 in words is "eighty-three trillion, one hundred twenty-four billion, two hundred sixty-four million, three hundred twenty-three thousand, two hundred fifty-six".