4567413265657 has 32 divisors (see below), whose sum is σ = 5091355175040. Its totient is φ = 4062545694720.

The previous prime is 4567413265643. The next prime is 4567413265687. The reversal of 4567413265657 is 7565623147654.

It is a cyclic number.

It is not a de Polignac number, because 4567413265657 - 2⁷ = 4567413265529 is a prime.

It is a super-2 number, since 2×4567413265657² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4567413265595 and 4567413265604.

It is not an unprimeable number, because it can be changed into a prime (4567413265607) 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 31 ways as a sum of consecutive naturals, for example, 163792438 + ... + 163820320.

It is an arithmetic number, because the mean of its divisors is an integer number (159104849220).

Almost surely, 2^{4567413265657} is an apocalyptic number.

It is an amenable number.

4567413265657 is a deficient number, since it is larger than the sum of its proper divisors (523941909383).

4567413265657 is a wasteful number, since it uses less digits than its factorization.

4567413265657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29593.

The product of its digits is 127008000, while the sum is 61.

It can be divided in two parts, 45674 and 13265657, that added together give a palindrome (13311331).

The spelling of 4567413265657 in words is "four trillion, five hundred sixty-seven billion, four hundred thirteen million, two hundred sixty-five thousand, six hundred fifty-seven".