4956483735 has 96 divisors (see below), whose sum is σ = 10397237760. Its totient is φ = 2133713664.

The previous prime is 4956483713. The next prime is 4956483743. The reversal of 4956483735 is 5373846594.

4956483735 is a `hidden beast` number, since 4 + 9 + 564 + 8 + 3 + 73 + 5 = 666.

It is not a de Polignac number, because 4956483735 - 2⁸ = 4956483479 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 1033012 + ... + 1037798.

It is an arithmetic number, because the mean of its divisors is an integer number (108304560).

Almost surely, 2^4956483735 is an apocalyptic number.

4956483735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4956483735 is an abundant number, since it is smaller than the sum of its proper divisors (5440754025).

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

4956483735 is a wasteful number, since it uses less digits than its factorization.

4956483735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4994 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 4956483735 is about 70402.2992167159. The cubic root of 4956483735 is about 1705.0007006014. Note that the first 3 decimals are identical.

The spelling of 4956483735 in words is "four billion, nine hundred fifty-six million, four hundred eighty-three thousand, seven hundred thirty-five".