33663005152 has 96 divisors (see below), whose sum is σ = 78667352064. Its totient is φ = 13875494400.

The previous prime is 33663005093. The next prime is 33663005177. The reversal of 33663005152 is 25150036633.

It is a super-2 number, since 2×33663005152² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1117002 + ... + 1146742.

It is an arithmetic number, because the mean of its divisors is an integer number (819451584).

Almost surely, 2^33663005152 is an apocalyptic number.

33663005152 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 33663005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39333676032).

33663005152 is an abundant number, since it is smaller than the sum of its proper divisors (45004346912).

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

33663005152 is a wasteful number, since it uses less digits than its factorization.

33663005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29952 (or 29944 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The spelling of 33663005152 in words is "thirty-three billion, six hundred sixty-three million, five thousand, one hundred fifty-two".