13630046112 has 144 divisors (see below), whose sum is σ = 40983939360. Its totient is φ = 4284873216.

The previous prime is 13630046039. The next prime is 13630046137. The reversal of 13630046112 is 21164003631.

13630046112 is a `hidden beast` number, since 13 + 6 + 30 + 0 + 4 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236658 + ... + 1247630.

It is an arithmetic number, because the mean of its divisors is an integer number (284610690).

Almost surely, 2^13630046112 is an apocalyptic number.

13630046112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491969680).

13630046112 is an abundant number, since it is smaller than the sum of its proper divisors (27353893248).

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

13630046112 is a wasteful number, since it uses less digits than its factorization.

13630046112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13630046112 its reverse (21164003631), we get a palindrome (34794049743).

The spelling of 13630046112 in words is "thirteen billion, six hundred thirty million, forty-six thousand, one hundred twelve".