457117418121 has 64 divisors (see below), whose sum is σ = 759338496000. Its totient is φ = 238173716736.

The previous prime is 457117418117. The next prime is 457117418167. The reversal of 457117418121 is 121814711754.

It is not a de Polignac number, because 457117418121 - 2² = 457117418117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (457117418221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10172220 + ... + 10217058.

It is an arithmetic number, because the mean of its divisors is an integer number (11864664000).

Almost surely, 2^457117418121 is an apocalyptic number.

It is an amenable number.

457117418121 is a deficient number, since it is larger than the sum of its proper divisors (302221077879).

457117418121 is a wasteful number, since it uses less digits than its factorization.

457117418121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45318.

The product of its digits is 62720, while the sum is 42.

The spelling of 457117418121 in words is "four hundred fifty-seven billion, one hundred seventeen million, four hundred eighteen thousand, one hundred twenty-one".