4657713723 has 24 divisors (see below), whose sum is σ = 7382046672. Its totient is φ = 2812200768.

The previous prime is 4657713707. The next prime is 4657713763. The reversal of 4657713723 is 3273177564.

4657713723 is a `hidden beast` number, since 4 + 6 + 577 + 1 + 3 + 72 + 3 = 666.

It is not a de Polignac number, because 4657713723 - 2⁴ = 4657713707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4657713763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369361 + ... + 381762.

It is an arithmetic number, because the mean of its divisors is an integer number (307585278).

Almost surely, 2^4657713723 is an apocalyptic number.

4657713723 is a deficient number, since it is larger than the sum of its proper divisors (2724332949).

4657713723 is a wasteful number, since it uses less digits than its factorization.

4657713723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751195 (or 751192 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 4657713723 is about 68247.4448093114. Note that the first 3 decimals coincide. The cubic root of 4657713723 is about 1670.0299662353.

The spelling of 4657713723 in words is "four billion, six hundred fifty-seven million, seven hundred thirteen thousand, seven hundred twenty-three".