33223120416 has 72 divisors (see below), whose sum is σ = 94502588544. Its totient is φ = 11071520640.

The previous prime is 33223120367. The next prime is 33223120421. The reversal of 33223120416 is 61402132233.

33223120416 is a `hidden beast` number, since 3 + 3 + 223 + 1 + 20 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33223120416² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33223120416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1309645 + ... + 1334771.

It is an arithmetic number, because the mean of its divisors is an integer number (1312535952).

Almost surely, 2^33223120416 is an apocalyptic number.

33223120416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33223120416 is an abundant number, since it is smaller than the sum of its proper divisors (61279468128).

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

33223120416 is a wasteful number, since it uses less digits than its factorization.

33223120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29734 (or 29723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33223120416 its reverse (61402132233), we get a palindrome (94625252649).

The spelling of 33223120416 in words is "thirty-three billion, two hundred twenty-three million, one hundred twenty thousand, four hundred sixteen".