334834747438433 has 12 divisors (see below), whose sum is σ = 369297613621524. Its totient is φ = 303356333359200.

The previous prime is 334834747438427. The next prime is 334834747438463.

334834747438433 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 324586092810529 + 10248654627904 = 18016273^2 + 3201352^2 .

It is not a de Polignac number, because 334834747438433 - 2¹² = 334834747434337 is a prime.

It is a super-2 number, since 2×334834747438433² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334834747438403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4722198878 + ... + 4722269783.

It is an arithmetic number, because the mean of its divisors is an integer number (30774801135127).

Almost surely, 2^{334834747438433} is an apocalyptic number.

It is an amenable number.

334834747438433 is a deficient number, since it is larger than the sum of its proper divisors (34462866183091).

334834747438433 is a wasteful number, since it uses less digits than its factorization.

334834747438433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444468976 (or 9444468965 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 68.

The spelling of 334834747438433 in words is "three hundred thirty-four trillion, eight hundred thirty-four billion, seven hundred forty-seven million, four hundred thirty-eight thousand, four hundred thirty-three".