457121570671217 has 8 divisors (see below), whose sum is σ = 468337233085512. Its totient is φ = 445909068057600.

The previous prime is 457121570671201. The next prime is 457121570671321. The reversal of 457121570671217 is 712176075121754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89633859210256 + 367487711460961 = 9467516^2 + 19169969^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 457121570671217 - 2⁴ = 457121570671201 is a prime.

It is a super-2 number, since 2×457121570671217² (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 (457121570673217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789657284 + ... + 790235957.

It is an arithmetic number, because the mean of its divisors is an integer number (58542154135689).

Almost surely, 2^{457121570671217} is an apocalyptic number.

It is an amenable number.

457121570671217 is a deficient number, since it is larger than the sum of its proper divisors (11215662414295).

457121570671217 is a wasteful number, since it uses less digits than its factorization.

457121570671217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579900339.

The product of its (nonzero) digits is 5762400, while the sum is 56.

The spelling of 457121570671217 in words is "four hundred fifty-seven trillion, one hundred twenty-one billion, five hundred seventy million, six hundred seventy-one thousand, two hundred seventeen".