13824036672 has 112 divisors (see below), whose sum is σ = 37247169600. Its totient is φ = 4523765760.

The previous prime is 13824036671. The next prime is 13824036689. The reversal of 13824036672 is 27663042831.

It is a super-2 number, since 2×13824036672² (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 (13824036671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474279 + ... + 9475737.

Almost surely, 2^13824036672 is an apocalyptic number.

13824036672 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 13824036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623584800).

13824036672 is an abundant number, since it is smaller than the sum of its proper divisors (23423132928).

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

13824036672 is a wasteful number, since it uses less digits than its factorization.

13824036672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13824036672 in words is "thirteen billion, eight hundred twenty-four million, thirty-six thousand, six hundred seventy-two".