434733191649 has 27 divisors (see below), whose sum is σ = 631051759377. Its totient is φ = 288396628200.

The previous prime is 434733191639. The next prime is 434733191653. The reversal of 434733191649 is 946191337434.

The square root of 434733191649 is 659343.

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

434733191649 is a `hidden beast` number, since 4 + 3 + 473 + 3 + 1 + 9 + 164 + 9 = 666.

It is not a de Polignac number, because 434733191649 - 2⁵ = 434733191617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434733191595 and 434733191604.

It is not an unprimeable number, because it can be changed into a prime (434733191639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536045454 + ... + 536046264.

Almost surely, 2^434733191649 is an apocalyptic number.

434733191649 is the 659343-rd square number.

434733191649 is the 329672-nd centered octagonal number.

It is an amenable number.

434733191649 is a deficient number, since it is larger than the sum of its proper divisors (196318567728).

434733191649 is an frugal number, since it uses more digits than its factorization.

434733191649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1085 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 434733191649 in words is "four hundred thirty-four billion, seven hundred thirty-three million, one hundred ninety-one thousand, six hundred forty-nine".