10345085085008 has 20 divisors (see below), whose sum is σ = 20044279483188. Its totient is φ = 5172367799040.

The previous prime is 10345085085001. The next prime is 10345085085061. The reversal of 10345085085008 is 80058058054301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7442464135744 + 2902620949264 = 2728088^2 + 1703708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345085085001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10432391 + ... + 11380902.

Almost surely, 2^{10345085085008} is an apocalyptic number.

It is an amenable number.

10345085085008 is a deficient number, since it is larger than the sum of its proper divisors (9699194398180).

10345085085008 is a wasteful number, since it uses less digits than its factorization.

10345085085008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21842942 (or 21842936 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 47.

The spelling of 10345085085008 in words is "ten trillion, three hundred forty-five billion, eighty-five million, eighty-five thousand, eight".