4217817645 has 24 divisors (see below), whose sum is σ = 7448829336. Its totient is φ = 2207058048.

The previous prime is 4217817613. The next prime is 4217817661. The reversal of 4217817645 is 5467187124.

It can be written as a sum of positive squares in 4 ways, for example, as 1971626409 + 2246191236 = 44403^2 + 47394^2 .

It is not a de Polignac number, because 4217817645 - 2⁵ = 4217817613 is a prime.

It is a super-3 number, since 3×4217817645³ (a number of 30 digits) contains 333 as substring.

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 4217817645.

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 23 ways as a sum of consecutive naturals, for example, 881854 + ... + 886623.

It is an arithmetic number, because the mean of its divisors is an integer number (310367889).

Almost surely, 2^4217817645 is an apocalyptic number.

4217817645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4217817645 is a deficient number, since it is larger than the sum of its proper divisors (3231011691).

4217817645 is a wasteful number, since it uses less digits than its factorization.

4217817645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768541 (or 1768538 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 4217817645 is about 64944.7276151036. The cubic root of 4217817645 is about 1615.7069748010.

The spelling of 4217817645 in words is "four billion, two hundred seventeen million, eight hundred seventeen thousand, six hundred forty-five".