481264575567457 has 16 divisors (see below), whose sum is σ = 532427142242304. Its totient is φ = 431337601282000.

The previous prime is 481264575567439. The next prime is 481264575567527. The reversal of 481264575567457 is 754765575462184.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-481264575567457 is a prime.

It is a super-2 number, since 2×481264575567457² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481264575567437) 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 15 ways as a sum of consecutive naturals, for example, 15392832 + ... + 34633342.

It is an arithmetic number, because the mean of its divisors is an integer number (33276696390144).

Almost surely, 2^{481264575567457} is an apocalyptic number.

It is an amenable number.

481264575567457 is a deficient number, since it is larger than the sum of its proper divisors (51162566674847).

481264575567457 is a wasteful number, since it uses less digits than its factorization.

481264575567457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272620.

The product of its digits is 7902720000, while the sum is 76.

The spelling of 481264575567457 in words is "four hundred eighty-one trillion, two hundred sixty-four billion, five hundred seventy-five million, five hundred sixty-seven thousand, four hundred fifty-seven".