10985458901 has 8 divisors (see below), whose sum is σ = 11043557280. Its totient is φ = 10927513168.

The previous prime is 10985458873. The next prime is 10985458907.

10985458901 is nontrivially palindromic in base 10.

10985458901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10985458901 - 2¹⁸ = 10985196757 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10985458901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985458907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107615 + ... + 183171.

It is an arithmetic number, because the mean of its divisors is an integer number (1380444660).

Almost surely, 2^10985458901 is an apocalyptic number.

It is an amenable number.

10985458901 is a deficient number, since it is larger than the sum of its proper divisors (58098379).

10985458901 is an equidigital number, since it uses as much as digits as its factorization.

10985458901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76323.

The product of its (nonzero) digits is 518400, while the sum is 50.

The spelling of 10985458901 in words is "ten billion, nine hundred eighty-five million, four hundred fifty-eight thousand, nine hundred one".