334521000000 has 1176 divisors, whose sum is σ = 1362057565440. Its totient is φ = 77760000000.

The previous prime is 334520999983. The next prime is 334521000001. The reversal of 334521000000 is 125433.

It is a super-2 number, since 2×334521000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (334521000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3068999946 + ... + 3069000054.

Almost surely, 2^334521000000 is an apocalyptic number.

334521000000 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 334521000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681028782720).

334521000000 is an abundant number, since it is smaller than the sum of its proper divisors (1027536565440).

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

334521000000 is a wasteful number, since it uses less digits than its factorization.

334521000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 334521000000 its reverse (125433), we get a palindrome (334521125433).

The spelling of 334521000000 in words is "three hundred thirty-four billion, five hundred twenty-one million", and thus it is an aban number.