334225656000 has 448 divisors, whose sum is σ = 1290791424000. Its totient is φ = 84434918400.

The previous prime is 334225655989. The next prime is 334225656001. The reversal of 334225656000 is 656522433.

334225656000 is a `hidden beast` number, since 3 + 3 + 42 + 2 + 5 + 6 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×334225656000² (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 not an unprimeable number, because it can be changed into a prime (334225656001) 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 63 ways as a sum of consecutive naturals, for example, 4063281 + ... + 4144719.

Almost surely, 2^334225656000 is an apocalyptic number.

334225656000 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 334225656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645395712000).

334225656000 is an abundant number, since it is smaller than the sum of its proper divisors (956565768000).

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

334225656000 is a wasteful number, since it uses less digits than its factorization.

334225656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81494 (or 81468 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 334225656000 in words is "three hundred thirty-four billion, two hundred twenty-five million, six hundred fifty-six thousand".