344855086047 has 48 divisors (see below), whose sum is σ = 514303147072. Its totient is φ = 222504330240.

The previous prime is 344855086031. The next prime is 344855086057. The reversal of 344855086047 is 740680558443.

It is a happy number.

344855086047 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 550 + 86 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 344855086047 - 2⁴ = 344855086031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344855085984 and 344855086002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344855086007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89640678 + ... + 89644524.

Almost surely, 2^344855086047 is an apocalyptic number.

344855086047 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

344855086047 is a deficient number, since it is larger than the sum of its proper divisors (169448061025).

344855086047 is a wasteful number, since it uses less digits than its factorization.

344855086047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 344855086047 in words is "three hundred forty-four billion, eight hundred fifty-five million, eighty-six thousand, forty-seven".