4217648085 has 48 divisors (see below), whose sum is σ = 8359528320. Its totient is φ = 1927013760.

The previous prime is 4217648059. The next prime is 4217648111. The reversal of 4217648085 is 5808467124.

4217648085 is a `hidden beast` number, since 4 + 21 + 76 + 480 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (4217648059) and next prime (4217648111).

It is not a de Polignac number, because 4217648085 - 2⁸ = 4217647829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4217648085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126146 + ... + 1129884.

It is an arithmetic number, because the mean of its divisors is an integer number (174156840).

Almost surely, 2^4217648085 is an apocalyptic number.

4217648085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4217648085 is a deficient number, since it is larger than the sum of its proper divisors (4141880235).

4217648085 is a wasteful number, since it uses less digits than its factorization.

4217648085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4217648085 is about 64943.4221842366. The cubic root of 4217648085 is about 1615.6853235610.

The spelling of 4217648085 in words is "four billion, two hundred seventeen million, six hundred forty-eight thousand, eighty-five".