344461114368 has 264 divisors, whose sum is σ = 1137945968640. Its totient is φ = 98310758400.

The previous prime is 344461114363. The next prime is 344461114379. The reversal of 344461114368 is 863411164443.

344461114368 is a `hidden beast` number, since 3 + 4 + 446 + 1 + 1 + 143 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344461114363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74250993 + ... + 74255631.

Almost surely, 2^344461114368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344461114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568972984320).

344461114368 is an abundant number, since it is smaller than the sum of its proper divisors (793484854272).

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

344461114368 is a wasteful number, since it uses less digits than its factorization.

344461114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5802 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 344461114368 in words is "three hundred forty-four billion, four hundred sixty-one million, one hundred fourteen thousand, three hundred sixty-eight".