33922505435809 has 9 divisors (see below), whose sum is σ = 34507557761587. Its totient is φ = 33347209906984.

The previous prime is 33922505435789. The next prime is 33922505435839. The reversal of 33922505435809 is 90853450522933.

The square root of 33922505435809 is 5824303.

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., 33756390500625 + 166114935184 = 5810025^2 + 407572^2 .

It is not a de Polignac number, because 33922505435809 - 2⁹ = 33922505435297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33922505435839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 343584519 + ... + 343683235.

Almost surely, 2^{33922505435809} is an apocalyptic number.

33922505435809 is the 5824303-rd square number.

33922505435809 is the 2912152-nd centered octagonal number.

It is an amenable number.

33922505435809 is a deficient number, since it is larger than the sum of its proper divisors (585052325778).

33922505435809 is an frugal number, since it uses more digits than its factorization.

33922505435809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197552 (or 98776 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 58.

The spelling of 33922505435809 in words is "thirty-three trillion, nine hundred twenty-two billion, five hundred five million, four hundred thirty-five thousand, eight hundred nine".