83857617844 has 216 divisors, whose sum is σ = 204150447144. Its totient is φ = 29848896000.

The previous prime is 83857617829. The next prime is 83857617887. The reversal of 83857617844 is 44871675838.

It can be written as a sum of positive squares in 4 ways, for example, as 15560067600 + 68297550244 = 124740^2 + 261338^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31137762 + ... + 31140454.

It is an arithmetic number, because the mean of its divisors is an integer number (945140959).

Almost surely, 2^83857617844 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 83857617844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102075223572).

83857617844 is an abundant number, since it is smaller than the sum of its proper divisors (120292829300).

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

83857617844 is a wasteful number, since it uses less digits than its factorization.

83857617844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2827 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 61.

The spelling of 83857617844 in words is "eighty-three billion, eight hundred fifty-seven million, six hundred seventeen thousand, eight hundred forty-four".