83282338317024 has 864 divisors, whose sum is σ = 318260371036608. Its totient is φ = 20149331558400.

The previous prime is 83282338316987. The next prime is 83282338317047. The reversal of 83282338317024 is 42071383328238.

83282338317024 is a `hidden beast` number, since 8 + 3 + 282 + 338 + 3 + 1 + 7 + 0 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 402146944 + ... + 402353984.

It is an arithmetic number, because the mean of its divisors is an integer number (368356910922).

Almost surely, 2^{83282338317024} is an apocalyptic number.

83282338317024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83282338317024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159130185518304).

83282338317024 is an abundant number, since it is smaller than the sum of its proper divisors (234978032719584).

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

83282338317024 is a wasteful number, since it uses less digits than its factorization.

83282338317024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207200 (or 207178 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 83282338317024 in words is "eighty-three trillion, two hundred eighty-two billion, three hundred thirty-eight million, three hundred seventeen thousand, twenty-four".