33221912724 has 768 divisors, whose sum is σ = 124853944320. Its totient is φ = 7356096000.

The previous prime is 33221912687. The next prime is 33221912749. The reversal of 33221912724 is 42721912233.

It is a super-2 number, since 2×33221912724² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77080789 + ... + 77081219.

It is an arithmetic number, because the mean of its divisors is an integer number (162570240).

Almost surely, 2^33221912724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33221912724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62426972160).

33221912724 is an abundant number, since it is smaller than the sum of its proper divisors (91632031596).

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

33221912724 is a wasteful number, since it uses less digits than its factorization.

33221912724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 33221912724 in words is "thirty-three billion, two hundred twenty-one million, nine hundred twelve thousand, seven hundred twenty-four".