833138068608 has 320 divisors, whose sum is σ = 2694110496000. Its totient is φ = 254607390720.

The previous prime is 833138068561. The next prime is 833138068613. The reversal of 833138068608 is 806860831338.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6038538 + ... + 6174966.

It is an arithmetic number, because the mean of its divisors is an integer number (8419095300).

Almost surely, 2^833138068608 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 833138068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347055248000).

833138068608 is an abundant number, since it is smaller than the sum of its proper divisors (1860972427392).

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

833138068608 is a wasteful number, since it uses less digits than its factorization.

833138068608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136505 (or 136484 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 833138068608 in words is "eight hundred thirty-three billion, one hundred thirty-eight million, sixty-eight thousand, six hundred eight".