4775106146657 has 32 divisors (see below), whose sum is σ = 6098933643264. Its totient is φ = 3629900764800.

The previous prime is 4775106146627. The next prime is 4775106146689. The reversal of 4775106146657 is 7566416015774.

It is a cyclic number.

It is not a de Polignac number, because 4775106146657 - 2³² = 4770811179361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4775106146596 and 4775106146605.

It is not an unprimeable number, because it can be changed into a prime (4775106146627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76074428 + ... + 76137170.

It is an arithmetic number, because the mean of its divisors is an integer number (190591676352).

Almost surely, 2^{4775106146657} is an apocalyptic number.

It is an amenable number.

4775106146657 is a deficient number, since it is larger than the sum of its proper divisors (1323827496607).

4775106146657 is a wasteful number, since it uses less digits than its factorization.

4775106146657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86909.

The product of its (nonzero) digits is 29635200, while the sum is 59.

The spelling of 4775106146657 in words is "four trillion, seven hundred seventy-five billion, one hundred six million, one hundred forty-six thousand, six hundred fifty-seven".