10438865667001 has 8 divisors (see below), whose sum is σ = 10897898358600. Its totient is φ = 9986437762560.

The previous prime is 10438865666989. The next prime is 10438865667011. The reversal of 10438865667001 is 10076656883401.

It can be written as a sum of positive squares in 4 ways, for example, as 2146740710976 + 8292124956025 = 1465176^2 + 2879605^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10438865667001 - 2¹⁵ = 10438865634233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10438865667011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651193560 + ... + 1651199881.

It is an arithmetic number, because the mean of its divisors is an integer number (1362237294825).

Almost surely, 2^{10438865667001} is an apocalyptic number.

It is an amenable number.

10438865667001 is a deficient number, since it is larger than the sum of its proper divisors (459032691599).

10438865667001 is a wasteful number, since it uses less digits than its factorization.

10438865667001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302393579.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 10438865667001 in words is "ten trillion, four hundred thirty-eight billion, eight hundred sixty-five million, six hundred sixty-seven thousand, one".