83823015744 has 504 divisors, whose sum is σ = 283122791640. Its totient is φ = 23618469888.

The previous prime is 83823015721. The next prime is 83823015791. The reversal of 83823015744 is 44751032838.

It can be written as a sum of positive squares in 12 ways, for example, as 9621255744 + 74201760000 = 98088^2 + 272400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83823015744.

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 71 ways as a sum of consecutive naturals, for example, 2265486894 + ... + 2265486930.

Almost surely, 2^83823015744 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 83823015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141561395820).

83823015744 is an abundant number, since it is smaller than the sum of its proper divisors (199299775896).

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

83823015744 is a wasteful number, since it uses less digits than its factorization.

83823015744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 83823015744 in words is "eighty-three billion, eight hundred twenty-three million, fifteen thousand, seven hundred forty-four".