434228777577 has 144 divisors (see below), whose sum is σ = 748572190080. Its totient is φ = 237520470528.

The previous prime is 434228777561. The next prime is 434228777617. The reversal of 434228777577 is 775777822434.

It is a happy number.

434228777577 is a `hidden beast` number, since 4 + 3 + 422 + 8 + 77 + 75 + 77 = 666.

It is not a de Polignac number, because 434228777577 - 2⁴ = 434228777561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (434228777537) 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 143 ways as a sum of consecutive naturals, for example, 3169553053 + ... + 3169553189.

Almost surely, 2^434228777577 is an apocalyptic number.

It is an amenable number.

434228777577 is a deficient number, since it is larger than the sum of its proper divisors (314343412503).

434228777577 is a wasteful number, since it uses less digits than its factorization.

434228777577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 406 counting only the distinct ones).

The product of its digits is 129077760, while the sum is 63.

The spelling of 434228777577 in words is "four hundred thirty-four billion, two hundred twenty-eight million, seven hundred seventy-seven thousand, five hundred seventy-seven".