33229450800 has 480 divisors, whose sum is σ = 145570127360. Its totient is φ = 7010841600.

The previous prime is 33229450789. The next prime is 33229450811. The reversal of 33229450800 is 805492233.

It is an interprime number because it is at equal distance from previous prime (33229450789) and next prime (33229450811).

It is a super-2 number, since 2×33229450800² (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 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 95 ways as a sum of consecutive naturals, for example, 965895 + ... + 999705.

Almost surely, 2^33229450800 is an apocalyptic number.

33229450800 is a gapful number since it is divisible by the number (30) 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 33229450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72785063680).

33229450800 is an abundant number, since it is smaller than the sum of its proper divisors (112340676560).

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

33229450800 is a wasteful number, since it uses less digits than its factorization.

33229450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33858 (or 33841 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 33229450800 in words is "thirty-three billion, two hundred twenty-nine million, four hundred fifty thousand, eight hundred".