33221705472 has 180 divisors, whose sum is σ = 99678991720. Its totient is φ = 11004844032.

The previous prime is 33221705453. The next prime is 33221705513. The reversal of 33221705472 is 27450712233.

It is a super-2 number, since 2×33221705472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3375054 + ... + 3384882.

Almost surely, 2^33221705472 is an apocalyptic number.

33221705472 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 33221705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49839495860).

33221705472 is an abundant number, since it is smaller than the sum of its proper divisors (66457286248).

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

33221705472 is an equidigital number, since it uses as much as digits as its factorization.

33221705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 33221705472 in words is "thirty-three billion, two hundred twenty-one million, seven hundred five thousand, four hundred seventy-two".