85634909361 has 96 divisors (see below), whose sum is σ = 134277611520. Its totient is φ = 52467004800.

The previous prime is 85634909359. The next prime is 85634909447. The reversal of 85634909361 is 16390943658.

85634909361 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 490 + 93 + 61 = 666.

It is not a de Polignac number, because 85634909361 - 2¹ = 85634909359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85634909298 and 85634909307.

It is not an unprimeable number, because it can be changed into a prime (85634909461) 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 95 ways as a sum of consecutive naturals, for example, 175841460 + ... + 175841946.

It is an arithmetic number, because the mean of its divisors is an integer number (1398725120).

Almost surely, 2^85634909361 is an apocalyptic number.

It is an amenable number.

85634909361 is a deficient number, since it is larger than the sum of its proper divisors (48642702159).

85634909361 is a wasteful number, since it uses less digits than its factorization.

85634909361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 85634909361 in words is "eighty-five billion, six hundred thirty-four million, nine hundred nine thousand, three hundred sixty-one".