456321988117627 has 16 divisors (see below), whose sum is σ = 481057761670560. Its totient is φ = 431658110886912.

The previous prime is 456321988117577. The next prime is 456321988117651. The reversal of 456321988117627 is 726711889123654.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456321988117627 is a prime.

It is a super-2 number, since 2×456321988117627² (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 (456321988117687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302545513 + ... + 2302743685.

It is an arithmetic number, because the mean of its divisors is an integer number (30066110104410).

Almost surely, 2^{456321988117627} is an apocalyptic number.

456321988117627 is a deficient number, since it is larger than the sum of its proper divisors (24735773552933).

456321988117627 is a wasteful number, since it uses less digits than its factorization.

456321988117627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378942.

The product of its digits is 243855360, while the sum is 70.

The spelling of 456321988117627 in words is "four hundred fifty-six trillion, three hundred twenty-one billion, nine hundred eighty-eight million, one hundred seventeen thousand, six hundred twenty-seven".