10345365016512 has 56 divisors (see below), whose sum is σ = 27409454559696. Its totient is φ = 3443750381568.

The previous prime is 10345365016447. The next prime is 10345365016541. The reversal of 10345365016512 is 21561056354301.

It is a happy number.

It is a super-2 number, since 2×10345365016512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36613773 + ... + 36895244.

Almost surely, 2^{10345365016512} is an apocalyptic number.

10345365016512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10345365016512 is an abundant number, since it is smaller than the sum of its proper divisors (17064089543184).

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

10345365016512 is an equidigital number, since it uses as much as digits as its factorization.

10345365016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73509765 (or 73509755 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 10345365016512 in words is "ten trillion, three hundred forty-five billion, three hundred sixty-five million, sixteen thousand, five hundred twelve".