11466032634 has 144 divisors (see below), whose sum is σ = 30471674688. Its totient is φ = 3100737024.

The previous prime is 11466032623. The next prime is 11466032647. The reversal of 11466032634 is 43623066411.

11466032634 is a `hidden beast` number, since 1 + 1 + 46 + 603 + 2 + 6 + 3 + 4 = 666.

11466032634 is a modest number, since divided by 32634 gives 11466 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1964829 + ... + 1970655.

It is an arithmetic number, because the mean of its divisors is an integer number (211608852).

Almost surely, 2^11466032634 is an apocalyptic number.

11466032634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11466032634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235837344).

11466032634 is an abundant number, since it is smaller than the sum of its proper divisors (19005642054).

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

11466032634 is a wasteful number, since it uses less digits than its factorization.

11466032634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 11466032634 in words is "eleven billion, four hundred sixty-six million, thirty-two thousand, six hundred thirty-four".