33482832966 has 96 divisors (see below), whose sum is σ = 81840844800. Its totient is φ = 9801388800.

The previous prime is 33482832931. The next prime is 33482832967. The reversal of 33482832966 is 66923828433.

33482832966 is a `hidden beast` number, since 3 + 3 + 482 + 83 + 29 + 66 = 666.

It is a super-2 number, since 2×33482832966² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33482832967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3635235 + ... + 3644433.

It is an arithmetic number, because the mean of its divisors is an integer number (852508800).

Almost surely, 2^33482832966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33482832966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920422400).

33482832966 is an abundant number, since it is smaller than the sum of its proper divisors (48358011834).

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

33482832966 is a wasteful number, since it uses less digits than its factorization.

33482832966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9839 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 33482832966 in words is "thirty-three billion, four hundred eighty-two million, eight hundred thirty-two thousand, nine hundred sixty-six".