458152827966 has 32 divisors (see below), whose sum is σ = 1018154253600. Its totient is φ = 152712080640.

The previous prime is 458152827949. The next prime is 458152828013. The reversal of 458152827966 is 669728251854.

458152827966 is a `hidden beast` number, since 4 + 5 + 81 + 528 + 27 + 9 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518976 + ... + 1795436.

It is an arithmetic number, because the mean of its divisors is an integer number (31817320425).

Almost surely, 2^458152827966 is an apocalyptic number.

458152827966 is an abundant number, since it is smaller than the sum of its proper divisors (560001425634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

458152827966 is a wasteful number, since it uses less digits than its factorization.

458152827966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307161 (or 307155 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 458152827966 in words is "four hundred fifty-eight billion, one hundred fifty-two million, eight hundred twenty-seven thousand, nine hundred sixty-six".