833166661338 has 128 divisors (see below), whose sum is σ = 2108396839680. Its totient is φ = 241623648000.

The previous prime is 833166661331. The next prime is 833166661351.

It is a happy number.

833166661338 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (833166661331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1029928 + ... + 1651388.

It is an arithmetic number, because the mean of its divisors is an integer number (16471850310).

Almost surely, 2^833166661338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833166661338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054198419840).

833166661338 is an abundant number, since it is smaller than the sum of its proper divisors (1275230178342).

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

833166661338 is a wasteful number, since it uses less digits than its factorization.

833166661338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621581 (or 621575 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 833166661338 in words is "eight hundred thirty-three billion, one hundred sixty-six million, six hundred sixty-one thousand, three hundred thirty-eight".