344265202116 has 144 divisors (see below), whose sum is σ = 1005670935360. Its totient is φ = 98202274560.

The previous prime is 344265202093. The next prime is 344265202123. The reversal of 344265202116 is 611202562443.

344265202116 is a `hidden beast` number, since 3 + 442 + 6 + 5 + 202 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035550 + ... + 1326986.

It is an arithmetic number, because the mean of its divisors is an integer number (6983825940).

Almost surely, 2^344265202116 is an apocalyptic number.

344265202116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344265202116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502835467680).

344265202116 is an abundant number, since it is smaller than the sum of its proper divisors (661405733244).

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

344265202116 is a wasteful number, since it uses less digits than its factorization.

344265202116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291634 (or 291629 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 344265202116 its reverse (611202562443), we get a palindrome (955467764559).

The spelling of 344265202116 in words is "three hundred forty-four billion, two hundred sixty-five million, two hundred two thousand, one hundred sixteen".