12790820349 has 64 divisors (see below), whose sum is σ = 21519302400. Its totient is φ = 7459485696.

The previous prime is 12790820333. The next prime is 12790820351. The reversal of 12790820349 is 94302809721.

It is not a de Polignac number, because 12790820349 - 2⁴ = 12790820333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12790820309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448377 + ... + 476049.

It is an arithmetic number, because the mean of its divisors is an integer number (336239100).

Almost surely, 2^12790820349 is an apocalyptic number.

12790820349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12790820349 is a deficient number, since it is larger than the sum of its proper divisors (8728482051).

12790820349 is a wasteful number, since it uses less digits than its factorization.

12790820349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27771 (or 27765 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12790820349 in words is "twelve billion, seven hundred ninety million, eight hundred twenty thousand, three hundred forty-nine".