13824172712 has 64 divisors (see below), whose sum is σ = 30446592000. Its totient is φ = 5762218176.

The previous prime is 13824172711. The next prime is 13824172723. The reversal of 13824172712 is 21727142831.

It is a super-2 number, since 2×13824172712² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824172711) 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, 273089 + ... + 319727.

It is an arithmetic number, because the mean of its divisors is an integer number (475728000).

Almost surely, 2^13824172712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13824172712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15223296000).

13824172712 is an abundant number, since it is smaller than the sum of its proper divisors (16622419288).

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

13824172712 is a wasteful number, since it uses less digits than its factorization.

13824172712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46798 (or 46794 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The spelling of 13824172712 in words is "thirteen billion, eight hundred twenty-four million, one hundred seventy-two thousand, seven hundred twelve".