13472838656 has 66 divisors (see below), whose sum is σ = 27169245558. Its totient is φ = 6677708800.

The previous prime is 13472838641. The next prime is 13472838667. The reversal of 13472838656 is 65683827431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5369958400 + 8102880256 = 73280^2 + 90016^2 .

Its product of digits (5806080) is a multiple of the sum of its prime divisors (840).

It is a junction number, because it is equal to n+sod(n) for n = 13472838598 and 13472838607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19219106 + ... + 19219806.

Almost surely, 2^13472838656 is an apocalyptic number.

13472838656 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 13472838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584622779).

13472838656 is an abundant number, since it is smaller than the sum of its proper divisors (13696406902).

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

13472838656 is an frugal number, since it uses more digits than its factorization.

13472838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 840 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 53.

The spelling of 13472838656 in words is "thirteen billion, four hundred seventy-two million, eight hundred thirty-eight thousand, six hundred fifty-six".