336329794944 has 1024 divisors, whose sum is σ = 1246952448000. Its totient is φ = 87787929600.

The previous prime is 336329794939. The next prime is 336329794963. The reversal of 336329794944 is 449497923633.

336329794944 is a `hidden beast` number, since 336 + 3 + 297 + 9 + 4 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×336329794944² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (105815808) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 444292614 + ... + 444293370.

It is an arithmetic number, because the mean of its divisors is an integer number (1217727000).

Almost surely, 2^336329794944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336329794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623476224000).

336329794944 is an abundant number, since it is smaller than the sum of its proper divisors (910622653056).

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

336329794944 is a wasteful number, since it uses less digits than its factorization.

336329794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 846 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 336329794944 in words is "three hundred thirty-six billion, three hundred twenty-nine million, seven hundred ninety-four thousand, nine hundred forty-four".