10966304934 has 128 divisors (see below), whose sum is σ = 27251683200. Its totient is φ = 3245598720.

The previous prime is 10966304933. The next prime is 10966304957. The reversal of 10966304934 is 43940366901.

10966304934 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 630 + 4 + 9 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10966304934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966304933) 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, 6371194 + ... + 6372914.

It is an arithmetic number, because the mean of its divisors is an integer number (212903775).

Almost surely, 2^10966304934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10966304934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625841600).

10966304934 is an abundant number, since it is smaller than the sum of its proper divisors (16285378266).

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

10966304934 is a wasteful number, since it uses less digits than its factorization.

10966304934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 10966304934 in words is "ten billion, nine hundred sixty-six million, three hundred four thousand, nine hundred thirty-four".