13638227258656 has 576 divisors, whose sum is σ = 37188535273344. Its totient is φ = 4839174144000.

The previous prime is 13638227258647. The next prime is 13638227258657. The reversal of 13638227258656 is 65685272283631.

It is not an unprimeable number, because it can be changed into a prime (13638227258657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7631911395 + ... + 7631913181.

It is an arithmetic number, because the mean of its divisors is an integer number (64563429294).

Almost surely, 2^{13638227258656} is an apocalyptic number.

13638227258656 is a gapful number since it is divisible by the number (16) 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 13638227258656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594267636672).

13638227258656 is an abundant number, since it is smaller than the sum of its proper divisors (23550308014688).

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

13638227258656 is a wasteful number, since it uses less digits than its factorization.

13638227258656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2258 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 64.

The spelling of 13638227258656 in words is "thirteen trillion, six hundred thirty-eight billion, two hundred twenty-seven million, two hundred fifty-eight thousand, six hundred fifty-six".