344699891712 has 416 divisors, whose sum is σ = 1141382430720. Its totient is φ = 101892096000.

The previous prime is 344699891639. The next prime is 344699891719. The reversal of 344699891712 is 217198996443.

344699891712 is a `hidden beast` number, since 3 + 446 + 9 + 98 + 91 + 7 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344699891712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344699891719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49873537 + ... + 49880447.

Almost surely, 2^344699891712 is an apocalyptic number.

344699891712 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 344699891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570691215360).

344699891712 is an abundant number, since it is smaller than the sum of its proper divisors (796682539008).

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

344699891712 is a wasteful number, since it uses less digits than its factorization.

344699891712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6968 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 344699891712 in words is "three hundred forty-four billion, six hundred ninety-nine million, eight hundred ninety-one thousand, seven hundred twelve".