344991048192 has 240 divisors, whose sum is σ = 1148356946880. Its totient is φ = 97663574016.

The previous prime is 344991048167. The next prime is 344991048223. The reversal of 344991048192 is 291840199443.

344991048192 is a `hidden beast` number, since 3 + 449 + 9 + 1 + 0 + 4 + 8 + 192 = 666.

It is a super-2 number, since 2×344991048192² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3466843 + ... + 3564965.

It is an arithmetic number, because the mean of its divisors is an integer number (4784820612).

Almost surely, 2^344991048192 is an apocalyptic number.

344991048192 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 344991048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574178473440).

344991048192 is an abundant number, since it is smaller than the sum of its proper divisors (803365898688).

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

344991048192 is a wasteful number, since it uses less digits than its factorization.

344991048192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98263 (or 98244 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 344991048192 in words is "three hundred forty-four billion, nine hundred ninety-one million, forty-eight thousand, one hundred ninety-two".