33075969424 has 45 divisors (see below), whose sum is σ = 67663364673. Its totient is φ = 15661017216.

The previous prime is 33075969419. The next prime is 33075969461. The reversal of 33075969424 is 42496957033.

It is a happy number.

The square root of 33075969424 is 181868.

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

It can be written as a sum of positive squares in only one way, i.e., 687488400 + 32388481024 = 26220^2 + 179968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13820772 + ... + 13823164.

Almost surely, 2^33075969424 is an apocalyptic number.

33075969424 is the 181868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33075969424

33075969424 is an abundant number, since it is smaller than the sum of its proper divisors (34587395249).

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

33075969424 is an frugal number, since it uses more digits than its factorization.

33075969424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 33075969424 in words is "thirty-three billion, seventy-five million, nine hundred sixty-nine thousand, four hundred twenty-four".