33219942912 has 960 divisors, whose sum is σ = 120112312320. Its totient is φ = 9065447424.

The previous prime is 33219942907. The next prime is 33219942919. The reversal of 33219942912 is 21924991233.

It is a happy number.

33219942912 is a `hidden beast` number, since 3 + 3 + 219 + 9 + 429 + 1 + 2 = 666.

It is a super-2 number, since 2×33219942912² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33219942919) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 706807273 + ... + 706807319.

It is an arithmetic number, because the mean of its divisors is an integer number (125116992).

Almost surely, 2^33219942912 is an apocalyptic number.

33219942912 is a gapful number since it is divisible by the number (32) 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 33219942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056156160).

33219942912 is an abundant number, since it is smaller than the sum of its proper divisors (86892369408).

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

33219942912 is a wasteful number, since it uses less digits than its factorization.

33219942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 33219942912 in words is "thirty-three billion, two hundred nineteen million, nine hundred forty-two thousand, nine hundred twelve".