344512413054 has 192 divisors, whose sum is σ = 861392232000. Its totient is φ = 101691998208.

The previous prime is 344512413043. The next prime is 344512413067. The reversal of 344512413054 is 450314215443.

344512413054 is a `hidden beast` number, since 3 + 4 + 4 + 512 + 4 + 130 + 5 + 4 = 666.

344512413054 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49374814 + ... + 49381790.

It is an arithmetic number, because the mean of its divisors is an integer number (4486417875).

Almost surely, 2^344512413054 is an apocalyptic number.

344512413054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344512413054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430696116000).

344512413054 is an abundant number, since it is smaller than the sum of its proper divisors (516879818946).

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

344512413054 is a wasteful number, since it uses less digits than its factorization.

344512413054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7167 counting only the distinct ones).

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

Adding to 344512413054 its reverse (450314215443), we get a palindrome (794826628497).

The spelling of 344512413054 in words is "three hundred forty-four billion, five hundred twelve million, four hundred thirteen thousand, fifty-four".