8641056417 has 32 divisors (see below), whose sum is σ = 13904824320. Its totient is φ = 4662852480.

The previous prime is 8641056371. The next prime is 8641056433. The reversal of 8641056417 is 7146501468.

It is not a de Polignac number, because 8641056417 - 2¹⁹ = 8640532129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8641056517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90292 + ... + 159482.

It is an arithmetic number, because the mean of its divisors is an integer number (434525760).

Almost surely, 2^8641056417 is an apocalyptic number.

It is an amenable number.

8641056417 is a deficient number, since it is larger than the sum of its proper divisors (5263767903).

8641056417 is a wasteful number, since it uses less digits than its factorization.

8641056417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69533.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8641056417 is about 92957.2827539618. The cubic root of 8641056417 is about 2052.0547644398.

The spelling of 8641056417 in words is "eight billion, six hundred forty-one million, fifty-six thousand, four hundred seventeen".