334396112924160 has 1920 divisors, whose sum is σ = 1402004837376000. Its totient is φ = 73575822458880.

The previous prime is 334396112924129. The next prime is 334396112924173. The reversal of 334396112924160 is 61429211693433.

334396112924160 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 9 + 611 + 2 + 9 + 2 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×334396112924160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334396112924097 and 334396112924106.

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 191 ways as a sum of consecutive naturals, for example, 22657090861 + ... + 22657105619.

It is an arithmetic number, because the mean of its divisors is an integer number (730210852800).

Almost surely, 2^{334396112924160} is an apocalyptic number.

334396112924160 is a gapful number since it is divisible by the number (30) 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 334396112924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701002418688000).

334396112924160 is an abundant number, since it is smaller than the sum of its proper divisors (1067608724451840).

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

334396112924160 is a wasteful number, since it uses less digits than its factorization.

334396112924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 334396112924160 in words is "three hundred thirty-four trillion, three hundred ninety-six billion, one hundred twelve million, nine hundred twenty-four thousand, one hundred sixty".