4657817745 has 144 divisors (see below), whose sum is σ = 10141148160. Its totient is φ = 1965858048.

The previous prime is 4657817737. The next prime is 4657817761. The reversal of 4657817745 is 5477187564.

4657817745 is a `hidden beast` number, since 465 + 7 + 8 + 177 + 4 + 5 = 666.

It is not a de Polignac number, because 4657817745 - 2³ = 4657817737 is a prime.

It is a super-2 number, since 2×4657817745² = 43390532291273770050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4657817691 and 4657817700.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1469152 + ... + 1472318.

It is an arithmetic number, because the mean of its divisors is an integer number (70424640).

Almost surely, 2^4657817745 is an apocalyptic number.

4657817745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4657817745 is an abundant number, since it is smaller than the sum of its proper divisors (5483330415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4657817745 is a wasteful number, since it uses less digits than its factorization.

4657817745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3234 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The square root of 4657817745 is about 68248.2068995223. The cubic root of 4657817745 is about 1670.0423985554.

The spelling of 4657817745 in words is "four billion, six hundred fifty-seven million, eight hundred seventeen thousand, seven hundred forty-five".