4763349117657 has 128 divisors (see below), whose sum is σ = 8078710348800. Its totient is φ = 2747904749568.

The previous prime is 4763349117647. The next prime is 4763349117733. The reversal of 4763349117657 is 7567119433674.

4763349117657 is a `hidden beast` number, since 4 + 76 + 3 + 3 + 491 + 1 + 76 + 5 + 7 = 666.

It is not a de Polignac number, because 4763349117657 - 2²⁸ = 4763080682201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4763349117594 and 4763349117603.

It is not an unprimeable number, because it can be changed into a prime (4763349117647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2964124348 + ... + 2964125954.

It is an arithmetic number, because the mean of its divisors is an integer number (63114924600).

Almost surely, 2^{4763349117657} is an apocalyptic number.

It is an amenable number.

4763349117657 is a deficient number, since it is larger than the sum of its proper divisors (3315361231143).

4763349117657 is a wasteful number, since it uses less digits than its factorization.

4763349117657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3306 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 4763349117657 in words is "four trillion, seven hundred sixty-three billion, three hundred forty-nine million, one hundred seventeen thousand, six hundred fifty-seven".