344313313506 has 48 divisors (see below), whose sum is σ = 747049375800. Its totient is φ = 114611664384.

The previous prime is 344313313483. The next prime is 344313313529. The reversal of 344313313506 is 605313313443.

344313313506 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 133 + 13 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (344313313483) and next prime (344313313529).

It can be written as a sum of positive squares in 4 ways, for example, as 279751077225 + 64562236281 = 528915^2 + 254091^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45800860 + ... + 45808376.

Almost surely, 2^344313313506 is an apocalyptic number.

344313313506 is an abundant number, since it is smaller than the sum of its proper divisors (402736062294).

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

344313313506 is a wasteful number, since it uses less digits than its factorization.

344313313506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 344313313506 its reverse (605313313443), we get a palindrome (949626626949).

The spelling of 344313313506 in words is "three hundred forty-four billion, three hundred thirteen million, three hundred thirteen thousand, five hundred six".