85634467741107 has 48 divisors (see below), whose sum is σ = 128563462250496. Its totient is φ = 54868367736000.

The previous prime is 85634467741091. The next prime is 85634467741129. The reversal of 85634467741107 is 70114776443658.

It is a happy number.

85634467741107 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 446 + 7 + 74 + 110 + 7 = 666.

It is not a de Polignac number, because 85634467741107 - 2⁴ = 85634467741091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85634467721107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42997482 + ... + 44944992.

It is an arithmetic number, because the mean of its divisors is an integer number (2678405463552).

Almost surely, 2^{85634467741107} is an apocalyptic number.

85634467741107 is a deficient number, since it is larger than the sum of its proper divisors (42928994509389).

85634467741107 is a wasteful number, since it uses less digits than its factorization.

85634467741107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948632 (or 1948629 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 85634467741107 in words is "eighty-five trillion, six hundred thirty-four billion, four hundred sixty-seven million, seven hundred forty-one thousand, one hundred seven".