33149008768 has 64 divisors (see below), whose sum is σ = 69625526400. Its totient is φ = 15677148672.

The previous prime is 33149008757. The next prime is 33149008799. The reversal of 33149008768 is 86780094133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×33149008768³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1562971 + ... + 1584037.

It is an arithmetic number, because the mean of its divisors is an integer number (1087898850).

Almost surely, 2^33149008768 is an apocalyptic number.

33149008768 is a gapful number since it is divisible by the number (38) 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 33149008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34812763200).

33149008768 is an abundant number, since it is smaller than the sum of its proper divisors (36476517632).

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

33149008768 is a wasteful number, since it uses less digits than its factorization.

33149008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21747 (or 21735 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 33149008768 in words is "thirty-three billion, one hundred forty-nine million, eight thousand, seven hundred sixty-eight".