335345173327164 has 768 divisors, whose sum is σ = 1120818019958784. Its totient is φ = 75188128435200.

The previous prime is 335345173327159. The next prime is 335345173327207. The reversal of 335345173327164 is 461723371543533.

It is a super-2 number, since 2×335345173327164² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12296754849 + ... + 12296782119.

It is an arithmetic number, because the mean of its divisors is an integer number (1459398463488).

Almost surely, 2^{335345173327164} 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 335345173327164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560409009979392).

335345173327164 is an abundant number, since it is smaller than the sum of its proper divisors (785472846631620).

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

335345173327164 is a wasteful number, since it uses less digits than its factorization.

335345173327164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28326 (or 28324 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 57.

The spelling of 335345173327164 in words is "three hundred thirty-five trillion, three hundred forty-five billion, one hundred seventy-three million, three hundred twenty-seven thousand, one hundred sixty-four".