73334264809 has 27 divisors (see below), whose sum is σ = 81758714373. Its totient is φ = 65746635552.

The previous prime is 73334264791. The next prime is 73334264863. The reversal of 73334264809 is 90846243337.

It is a happy number.

The square root of 73334264809 is 270803.

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

It can be written as a sum of positive squares in 4 ways, for example, as 304607209 + 73029657600 = 17453^2 + 270240^2 .

It is not a de Polignac number, because 73334264809 - 2¹⁷ = 73334133737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73334264209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130255962 + ... + 130256524.

Almost surely, 2^73334264809 is an apocalyptic number.

73334264809 is the 270803-rd square number.

73334264809 is the 135402-nd centered octagonal number.

It is an amenable number.

73334264809 is a deficient number, since it is larger than the sum of its proper divisors (8424449564).

73334264809 is an frugal number, since it uses more digits than its factorization.

73334264809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

Multiplying 73334264809 by its sum of digits (49), we get a square (3593378975641 = 1895621²).

The spelling of 73334264809 in words is "seventy-three billion, three hundred thirty-four million, two hundred sixty-four thousand, eight hundred nine".