456007464027166 has 64 divisors (see below), whose sum is σ = 719172146880000. Its totient is φ = 216441909376000.

The previous prime is 456007464027151. The next prime is 456007464027223. The reversal of 456007464027166 is 661720464700654.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 456007464027166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3415745085 + ... + 3415878583.

It is an arithmetic number, because the mean of its divisors is an integer number (11237064795000).

Almost surely, 2^{456007464027166} is an apocalyptic number.

456007464027166 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

456007464027166 is a deficient number, since it is larger than the sum of its proper divisors (263164682852834).

456007464027166 is a wasteful number, since it uses less digits than its factorization.

456007464027166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134865.

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 456007464027166 in words is "four hundred fifty-six trillion, seven billion, four hundred sixty-four million, twenty-seven thousand, one hundred sixty-six".