83305679324868 has 864 divisors, whose sum is σ = 293308716529920. Its totient is φ = 19252485181440.

The previous prime is 83305679324867. The next prime is 83305679324957. The reversal of 83305679324868 is 86842397650338.

83305679324868 is a `hidden beast` number, since 8 + 3 + 3 + 0 + 56 + 7 + 93 + 2 + 486 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83305679324796 and 83305679324805.

It is not an unprimeable number, because it can be changed into a prime (83305679324867) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21487147746 + ... + 21487151622.

Almost surely, 2^{83305679324868} 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 83305679324868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146654358264960).

83305679324868 is an abundant number, since it is smaller than the sum of its proper divisors (210003037205052).

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

83305679324868 is a wasteful number, since it uses less digits than its factorization.

83305679324868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 83305679324868 in words is "eighty-three trillion, three hundred five billion, six hundred seventy-nine million, three hundred twenty-four thousand, eight hundred sixty-eight".