334541145323009 has 16 divisors (see below), whose sum is σ = 360653726832960. Its totient is φ = 309358401768000.

The previous prime is 334541145322987. The next prime is 334541145323023. The reversal of 334541145323009 is 900323541145433.

It is a cyclic number.

It is not a de Polignac number, because 334541145323009 - 2⁸ = 334541145322753 is a prime.

It is a super-2 number, since 2×334541145323009² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334541145323509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101551882 + ... + 1101855539.

It is an arithmetic number, because the mean of its divisors is an integer number (22540857927060).

Almost surely, 2^{334541145323009} is an apocalyptic number.

It is an amenable number.

334541145323009 is a deficient number, since it is larger than the sum of its proper divisors (26112581509951).

334541145323009 is a wasteful number, since it uses less digits than its factorization.

334541145323009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203407632.

The product of its (nonzero) digits is 2332800, while the sum is 47.

The spelling of 334541145323009 in words is "three hundred thirty-four trillion, five hundred forty-one billion, one hundred forty-five million, three hundred twenty-three thousand, nine".