344054152314 has 64 divisors (see below), whose sum is σ = 765999360000. Its totient is φ = 114469770240.

The previous prime is 344054152313. The next prime is 344054152319. The reversal of 344054152314 is 413251450443.

344054152314 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 5 + 415 + 231 + 4 = 666.

344054152314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344054152314² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344054152313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83324202 + ... + 83328330.

It is an arithmetic number, because the mean of its divisors is an integer number (11968740000).

Almost surely, 2^344054152314 is an apocalyptic number.

344054152314 is an abundant number, since it is smaller than the sum of its proper divisors (421945207686).

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

344054152314 is a wasteful number, since it uses less digits than its factorization.

344054152314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 344054152314 in words is "three hundred forty-four billion, fifty-four million, one hundred fifty-two thousand, three hundred fourteen".