456428257908481 has 8 divisors (see below), whose sum is σ = 458448656178240. Its totient is φ = 454407944736528.

The previous prime is 456428257908349. The next prime is 456428257908523. The reversal of 456428257908481 is 184809752824654.

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 456428257908481 - 2¹⁷ = 456428257777409 is a prime.

It is a super-2 number, since 2×456428257908481² (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 (456428257903481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10511541 + ... + 31989826.

It is an arithmetic number, because the mean of its divisors is an integer number (57306082022280).

Almost surely, 2^{456428257908481} is an apocalyptic number.

It is an amenable number.

456428257908481 is a deficient number, since it is larger than the sum of its proper divisors (2020398269759).

456428257908481 is a wasteful number, since it uses less digits than its factorization.

456428257908481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42548903.

The product of its (nonzero) digits is 1238630400, while the sum is 73.

The spelling of 456428257908481 in words is "four hundred fifty-six trillion, four hundred twenty-eight billion, two hundred fifty-seven million, nine hundred eight thousand, four hundred eighty-one".