434110211145 has 48 divisors (see below), whose sum is σ = 811744092432. Its totient is φ = 213345239040.

The previous prime is 434110211123. The next prime is 434110211173. The reversal of 434110211145 is 541112011434.

It is a happy number.

434110211145 is a `hidden beast` number, since 434 + 1 + 1 + 0 + 211 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4492886841 + 429617324304 = 67029^2 + 655452^2 .

It is not a de Polignac number, because 434110211145 - 2⁵ = 434110211113 is a prime.

It is a super-2 number, since 2×434110211145² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 305496 + ... + 980585.

It is an arithmetic number, because the mean of its divisors is an integer number (16911335259).

Almost surely, 2^434110211145 is an apocalyptic number.

434110211145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434110211145 is a deficient number, since it is larger than the sum of its proper divisors (377633881287).

434110211145 is a wasteful number, since it uses less digits than its factorization.

434110211145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286682 (or 1286679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 434110211145 its reverse (541112011434), we get a palindrome (975222222579).

The spelling of 434110211145 in words is "four hundred thirty-four billion, one hundred ten million, two hundred eleven thousand, one hundred forty-five".