334808982144 has 960 divisors, whose sum is σ = 1295578247040. Its totient is φ = 83568734208.

The previous prime is 334808982143. The next prime is 334808982161. The reversal of 334808982144 is 441289808433.

334808982144 is a `hidden beast` number, since 3 + 3 + 480 + 89 + 82 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×334808982144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (334808982143) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 340598677 + ... + 340599659.

It is an arithmetic number, because the mean of its divisors is an integer number (1349560674).

Almost surely, 2^334808982144 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 334808982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647789123520).

334808982144 is an abundant number, since it is smaller than the sum of its proper divisors (960769264896).

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

334808982144 is a wasteful number, since it uses less digits than its factorization.

334808982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 334808982144 in words is "three hundred thirty-four billion, eight hundred eight million, nine hundred eighty-two thousand, one hundred forty-four".