10335343610385 has 12 divisors (see below), whose sum is σ = 17914595591412. Its totient is φ = 5512183258848.

The previous prime is 10335343610309. The next prime is 10335343610443. The reversal of 10335343610385 is 58301634353301.

10335343610385 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 534 + 3 + 6 + 103 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7418410952976 + 2916932657409 = 2723676^2 + 1707903^2 .

It is not a de Polignac number, because 10335343610385 - 2⁸ = 10335343610129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 229674302453 = 10335343610385 / (1 + 0 + 3 + 3 + 5 + 3 + 4 + 3 + 6 + 1 + 0 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 10335343610385.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114837151182 + ... + 114837151271.

It is an arithmetic number, because the mean of its divisors is an integer number (1492882965951).

Almost surely, 2^{10335343610385} is an apocalyptic number.

10335343610385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10335343610385 is a deficient number, since it is larger than the sum of its proper divisors (7579251981027).

10335343610385 is a wasteful number, since it uses less digits than its factorization.

10335343610385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229674302464 (or 229674302461 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 10335343610385 its reverse (58301634353301), we get a palindrome (68636977963686).

The spelling of 10335343610385 in words is "ten trillion, three hundred thirty-five billion, three hundred forty-three million, six hundred ten thousand, three hundred eighty-five".