13824000000 has 448 divisors, whose sum is σ = 51198563400. Its totient is φ = 3686400000.

The previous prime is 13823999983. The next prime is 13824000013. The reversal of 13824000000 is 42831.

It is a happy number.

The cubic root of 13824000000 is 2400.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×13824000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2764799998 + ... + 2764800002.

Almost surely, 2^13824000000 is an apocalyptic number.

13824000000 is a gapful number since it is divisible by the number (10) 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 13824000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25599281700).

13824000000 is an abundant number, since it is smaller than the sum of its proper divisors (37374563400).

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

13824000000 is an frugal number, since it uses more digits than its factorization.

13824000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13824000000 its reverse (42831), we get a palindrome (13824042831).

The spelling of 13824000000 in words is "thirteen billion, eight hundred twenty-four million", and thus it is an aban number.