13564438272 has 432 divisors, whose sum is σ = 49171379712. Its totient is φ = 3493601280.

The previous prime is 13564438253. The next prime is 13564438297. The reversal of 13564438272 is 27283446531.

13564438272 is a `hidden beast` number, since 1 + 3 + 564 + 4 + 3 + 82 + 7 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 27852813 + ... + 27853299.

Almost surely, 2^13564438272 is an apocalyptic number.

13564438272 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 13564438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585689856).

13564438272 is an abundant number, since it is smaller than the sum of its proper divisors (35606941440).

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

13564438272 is a wasteful number, since it uses less digits than its factorization.

13564438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 667 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 13564438272 in words is "thirteen billion, five hundred sixty-four million, four hundred thirty-eight thousand, two hundred seventy-two".