13638000312 has 24 divisors (see below), whose sum is σ = 36936251040. Its totient is φ = 4546000080.

The previous prime is 13638000307. The next prime is 13638000319. The reversal of 13638000312 is 21300083631.

It is a happy number.

13638000312 is a `hidden beast` number, since 13 + 638 + 0 + 0 + 0 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13638000312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638000319) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 94708264 + ... + 94708407.

It is an arithmetic number, because the mean of its divisors is an integer number (1539010460).

Almost surely, 2^13638000312 is an apocalyptic number.

13638000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13638000312 is an abundant number, since it is smaller than the sum of its proper divisors (23298250728).

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

13638000312 is a wasteful number, since it uses less digits than its factorization.

13638000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189416683 (or 189416676 counting only the distinct ones).

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

Adding to 13638000312 its reverse (21300083631), we get a palindrome (34938083943).

The spelling of 13638000312 in words is "thirteen billion, six hundred thirty-eight million, three hundred twelve", and thus it is an aban number.