333212216064 has 1152 divisors, whose sum is σ = 1260935424000. Its totient is φ = 75506909184.

The previous prime is 333212216059. The next prime is 333212216101. The reversal of 333212216064 is 460612212333.

It is a happy number.

It is a super-2 number, since 2×333212216064² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 654640642 + ... + 654641150.

It is an arithmetic number, because the mean of its divisors is an integer number (1094562000).

Almost surely, 2^333212216064 is an apocalyptic number.

333212216064 is a gapful number since it is divisible by the number (34) 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 333212216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630467712000).

333212216064 is an abundant number, since it is smaller than the sum of its proper divisors (927723207936).

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

333212216064 is a wasteful number, since it uses less digits than its factorization.

333212216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 333212216064 its reverse (460612212333), we get a palindrome (793824428397).

The spelling of 333212216064 in words is "three hundred thirty-three billion, two hundred twelve million, two hundred sixteen thousand, sixty-four".