83326815936 has 1344 divisors, whose sum is σ = 334782322560. Its totient is φ = 20065812480.

The previous prime is 83326815911. The next prime is 83326815937. The reversal of 83326815936 is 63951862338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83326815937) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1141463196 + ... + 1141463268.

It is an arithmetic number, because the mean of its divisors is an integer number (249093990).

Almost surely, 2^83326815936 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 83326815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167391161280).

83326815936 is an abundant number, since it is smaller than the sum of its proper divisors (251455506624).

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

83326815936 is a wasteful number, since it uses less digits than its factorization.

83326815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 83326815936 in words is "eighty-three billion, three hundred twenty-six million, eight hundred fifteen thousand, nine hundred thirty-six".