427385008161 has 6 divisors (see below), whose sum is σ = 617333900690. Its totient is φ = 284923338768.

The previous prime is 427385008153. The next prime is 427385008199. The reversal of 427385008161 is 161800583724.

427385008161 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 8 + 500 + 81 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322169760000 + 105215248161 = 567600^2 + 324369^2 .

It is not a de Polignac number, because 427385008161 - 2³ = 427385008153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427385008121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23743611556 + ... + 23743611573.

Almost surely, 2^427385008161 is an apocalyptic number.

It is an amenable number.

427385008161 is a deficient number, since it is larger than the sum of its proper divisors (189948892529).

427385008161 is a wasteful number, since it uses less digits than its factorization.

427385008161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47487223135 (or 47487223132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 427385008161 in words is "four hundred twenty-seven billion, three hundred eighty-five million, eight thousand, one hundred sixty-one".