33388149949504 has 63 divisors (see below), whose sum is σ = 77072436197847. Its totient is φ = 14309068443264.

The previous prime is 33388149949499. The next prime is 33388149949519. The reversal of 33388149949504 is 40594994188333.

The square root of 33388149949504 is 5778248.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×33388149949504² (a number of 28 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 323530297 + ... + 323633479.

Almost surely, 2^{33388149949504} is an apocalyptic number.

33388149949504 is the 5778248-th square number.

It is an amenable number.

33388149949504 is an abundant number, since it is smaller than the sum of its proper divisors (43684286248343).

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

33388149949504 is an frugal number, since it uses more digits than its factorization.

33388149949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206392 (or 103192 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 70.

The spelling of 33388149949504 in words is "thirty-three trillion, three hundred eighty-eight billion, one hundred forty-nine million, nine hundred forty-nine thousand, five hundred four".