13824000001 has 20 divisors (see below), whose sum is σ = 16165500932. Its totient is φ = 11820888576.

The previous prime is 13823999983. The next prime is 13824000013. The reversal of 13824000001 is 10000042831.

It is a Cunningham number, because it is equal to 2400³+1.

It can be written as a sum of positive squares in 2 ways, for example, as 553190400 + 13270809601 = 23520^2 + 115199^2 .

It is not a de Polignac number, because 13824000001 - 2⁹ = 13823999489 is a prime.

It is a super-2 number, since 2×13824000001² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13824000301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1032985 + ... + 1046281.

Almost surely, 2^13824000001 is an apocalyptic number.

It is an amenable number.

13824000001 is a deficient number, since it is larger than the sum of its proper divisors (2341500931).

13824000001 is an frugal number, since it uses more digits than its factorization.

13824000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13824000001 its reverse (10000042831), we get a palindrome (23824042832).

The spelling of 13824000001 in words is "thirteen billion, eight hundred twenty-four million, one", and thus it is an aban number.