18333430801 has 45 divisors (see below), whose sum is σ = 23090424861. Its totient is φ = 14512820784.

The previous prime is 18333430793. The next prime is 18333430861. The reversal of 18333430801 is 10803433381.

The square root of 18333430801 is 135401.

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

It can be written as a sum of positive squares in 2 ways, for example, as 43573201 + 18289857600 = 6601^2 + 135240^2 .

It is not a de Polignac number, because 18333430801 - 2³ = 18333430793 is a prime.

It is a super-2 number, since 2×18333430801² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18333430861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 632187255 + ... + 632187283.

Almost surely, 2^18333430801 is an apocalyptic number.

18333430801 is the 135401-st square number.

18333430801 is the 67701-st centered octagonal number.

It is an amenable number.

18333430801 is a deficient number, since it is larger than the sum of its proper divisors (4756994060).

18333430801 is an frugal number, since it uses more digits than its factorization.

18333430801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 18333430801 by its product of nonzero digits (20736), we get a square (380162021089536 = 19497744²).

The spelling of 18333430801 in words is "eighteen billion, three hundred thirty-three million, four hundred thirty thousand, eight hundred one".