83283333336 has 360 divisors, whose sum is σ = 279693350820. Its totient is φ = 22382083584.

The previous prime is 83283333257. The next prime is 83283333373. The reversal of 83283333336 is 63333338238.

83283333336 is a `hidden beast` number, since 8 + 3 + 283 + 3 + 33 + 336 = 666.

It is a super-2 number, since 2×83283333336² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83283333291 and 83283333300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 49959175 + ... + 49960841.

Almost surely, 2^83283333336 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 83283333336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139846675410).

83283333336 is an abundant number, since it is smaller than the sum of its proper divisors (196410017484).

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

83283333336 is a wasteful number, since it uses less digits than its factorization.

83283333336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1696 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The spelling of 83283333336 in words is "eighty-three billion, two hundred eighty-three million, three hundred thirty-three thousand, three hundred thirty-six".