24000010000001 has 24 divisors (see below), whose sum is σ = 28599841758600. Its totient is φ = 20069325158400.

The previous prime is 24000009999943. The next prime is 24000010000061. The reversal of 24000010000001 is 10000001000042.

It can be written as a sum of positive squares in 4 ways, for example, as 5050739338225 + 18949270661776 = 2247385^2 + 4353076^2 .

It is not a de Polignac number, because 24000010000001 - 2¹⁴ = 24000009983617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24000010000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195938825 + ... + 196061273.

It is an arithmetic number, because the mean of its divisors is an integer number (1191660073275).

Almost surely, 2^{24000010000001} is an apocalyptic number.

24000010000001 is the 4000001-st pentagonal number.

It is an amenable number.

24000010000001 is a deficient number, since it is larger than the sum of its proper divisors (4599831758599).

24000010000001 is a wasteful number, since it uses less digits than its factorization.

24000010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220065 (or 220058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 24000010000001 its reverse (10000001000042), we get a palindrome (34000011000043).

The spelling of 24000010000001 in words is "twenty-four trillion, ten million, one", and thus it is an aban number.