10345085085012 has 24 divisors (see below), whose sum is σ = 25188033251136. Its totient is φ = 3298432925568.

The previous prime is 10345085085001. The next prime is 10345085085061. The reversal of 10345085085012 is 21058058054301.

It is a super-2 number, since 2×10345085085012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18741095893 + ... + 18741096444.

It is an arithmetic number, because the mean of its divisors is an integer number (1049501385464).

Almost surely, 2^{10345085085012} is an apocalyptic number.

10345085085012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10345085085012 is an abundant number, since it is smaller than the sum of its proper divisors (14842948166124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10345085085012 is a wasteful number, since it uses less digits than its factorization.

10345085085012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37482192367 (or 37482192365 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 10345085085012 in words is "ten trillion, three hundred forty-five billion, eighty-five million, eighty-five thousand, twelve".