13564672128 has 448 divisors, whose sum is σ = 48786273600. Its totient is φ = 3668281344.

The previous prime is 13564672127. The next prime is 13564672153. The reversal of 13564672128 is 82127646531.

13564672128 is a `hidden beast` number, since 1 + 3 + 564 + 6 + 72 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (13564672127) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 12409950 + ... + 12411042.

Almost surely, 2^13564672128 is an apocalyptic number.

13564672128 is a gapful number since it is divisible by the number (18) 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 13564672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393136800).

13564672128 is an abundant number, since it is smaller than the sum of its proper divisors (35221601472).

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

13564672128 is an equidigital number, since it uses as much as digits as its factorization.

13564672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1124 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13564672128 in words is "thirteen billion, five hundred sixty-four million, six hundred seventy-two thousand, one hundred twenty-eight".