83703165744 has 320 divisors, whose sum is σ = 264525212160. Its totient is φ = 22477455360.

The previous prime is 83703165743. The next prime is 83703165773. The reversal of 83703165744 is 44756130738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 83703165693 and 83703165702.

It is not an unprimeable number, because it can be changed into a prime (83703165743) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29502694 + ... + 29505530.

It is an arithmetic number, because the mean of its divisors is an integer number (826641288).

Almost surely, 2^83703165744 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 83703165744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132262606080).

83703165744 is an abundant number, since it is smaller than the sum of its proper divisors (180822046416).

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

83703165744 is a wasteful number, since it uses less digits than its factorization.

83703165744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 83703165744 in words is "eighty-three billion, seven hundred three million, one hundred sixty-five thousand, seven hundred forty-four".