786312006345 has 12 divisors (see below), whose sum is σ = 1362940811076. Its totient is φ = 419366403360.

The previous prime is 786312006313. The next prime is 786312006371. The reversal of 786312006345 is 543600213687.

786312006345 is a `hidden beast` number, since 7 + 8 + 6 + 3 + 1 + 2 + 0 + 0 + 634 + 5 = 666.

786312006345 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 242761173264 + 543550833081 = 492708^2 + 737259^2 .

It is not a de Polignac number, because 786312006345 - 2⁵ = 786312006313 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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: 17473600141 = 786312006345 / (7 + 8 + 6 + 3 + 1 + 2 + 0 + 0 + 6 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 786312006345.

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, 8736800026 + ... + 8736800115.

It is an arithmetic number, because the mean of its divisors is an integer number (113578400923).

Almost surely, 2^786312006345 is an apocalyptic number.

It is an amenable number.

786312006345 is a deficient number, since it is larger than the sum of its proper divisors (576628804731).

786312006345 is a wasteful number, since it uses less digits than its factorization.

786312006345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17473600152 (or 17473600149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 786312006345 in words is "seven hundred eighty-six billion, three hundred twelve million, six thousand, three hundred forty-five".