334006160256 has 256 divisors, whose sum is σ = 1011380428800. Its totient is φ = 108466145280.

The previous prime is 334006160239. The next prime is 334006160353. The reversal of 334006160256 is 652061600433.

334006160256 is a `hidden beast` number, since 3 + 3 + 40 + 0 + 6 + 1 + 602 + 5 + 6 = 666.

It is a super-2 number, since 2×334006160256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 334006160256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36217726 + ... + 36226946.

It is an arithmetic number, because the mean of its divisors is an integer number (3950704800).

Almost surely, 2^334006160256 is an apocalyptic number.

334006160256 is a gapful number since it is divisible by the number (36) 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 334006160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505690214400).

334006160256 is an abundant number, since it is smaller than the sum of its proper divisors (677374268544).

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

334006160256 is a wasteful number, since it uses less digits than its factorization.

334006160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 334006160256 its reverse (652061600433), we get a palindrome (986067760689).

The spelling of 334006160256 in words is "three hundred thirty-four billion, six million, one hundred sixty thousand, two hundred fifty-six".