434133396544 has 21 divisors (see below), whose sum is σ = 861493918741. Its totient is φ = 217064062720.

The previous prime is 434133396497. The next prime is 434133396569. The reversal of 434133396544 is 445693331434.

The square root of 434133396544 is 658888.

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

It can be written as a sum of positive squares in only one way, i.e., 248889236544 + 185244160000 = 498888^2 + 430400^2 .

It is a super-2 number, since 2×434133396544² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 5229924 + ... + 5312284.

Almost surely, 2^434133396544 is an apocalyptic number.

434133396544 is the 658888-th square number.

It is an amenable number.

434133396544 is a deficient number, since it is larger than the sum of its proper divisors (427360522197).

434133396544 is an frugal number, since it uses more digits than its factorization.

434133396544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164734 (or 82363 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 49.

Multiplying 434133396544 by its sum of digits (49), we get a square (21272536430656 = 4612216²).

The spelling of 434133396544 in words is "four hundred thirty-four billion, one hundred thirty-three million, three hundred ninety-six thousand, five hundred forty-four".