83068304352 has 288 divisors, whose sum is σ = 251016071040. Its totient is φ = 24003302400.

The previous prime is 83068304339. The next prime is 83068304377. The reversal of 83068304352 is 25340386038.

It is a happy number.

It is a super-4 number, since 4×83068304352⁴ (a number of 45 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 27958227 + ... + 27961197.

It is an arithmetic number, because the mean of its divisors is an integer number (871583580).

Almost surely, 2^83068304352 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 83068304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125508035520).

83068304352 is an abundant number, since it is smaller than the sum of its proper divisors (167947766688).

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

83068304352 is a wasteful number, since it uses less digits than its factorization.

83068304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 83068304352 in words is "eighty-three billion, sixty-eight million, three hundred four thousand, three hundred fifty-two".