344606644512 has 192 divisors, whose sum is σ = 1086543279360. Its totient is φ = 105628741632.

The previous prime is 344606644477. The next prime is 344606644583. The reversal of 344606644512 is 215446606443.

344606644512 is a `hidden beast` number, since 34 + 4 + 6 + 0 + 66 + 44 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2895688 + ... + 3012344.

It is an arithmetic number, because the mean of its divisors is an integer number (5659079580).

Almost surely, 2^344606644512 is an apocalyptic number.

344606644512 is a gapful number since it is divisible by the number (32) 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 344606644512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543271639680).

344606644512 is an abundant number, since it is smaller than the sum of its proper divisors (741936634848).

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

344606644512 is a wasteful number, since it uses less digits than its factorization.

344606644512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116952 (or 116938 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 344606644512 in words is "three hundred forty-four billion, six hundred six million, six hundred forty-four thousand, five hundred twelve".