456525894889 has 9 divisors (see below), whose sum is σ = 457709342391. Its totient is φ = 455345504640.

The previous prime is 456525894887. The next prime is 456525894917. The reversal of 456525894889 is 988498525654.

The square root of 456525894889 is 675667.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 453366555625 + 3159339264 = 673325^2 + 56208^2 .

It is not a de Polignac number, because 456525894889 - 2¹ = 456525894887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456525894883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 389859274 + ... + 389860444.

It is an arithmetic number, because the mean of its divisors is an integer number (50856593599).

Almost surely, 2^456525894889 is an apocalyptic number.

456525894889 is the 675667-th square number.

456525894889 is the 337834-th centered octagonal number.

It is an amenable number.

456525894889 is a deficient number, since it is larger than the sum of its proper divisors (1183447502).

456525894889 is an frugal number, since it uses more digits than its factorization.

456525894889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 1748 counting only the distinct ones).

The product of its digits is 995328000, while the sum is 73.

The spelling of 456525894889 in words is "four hundred fifty-six billion, five hundred twenty-five million, eight hundred ninety-four thousand, eight hundred eighty-nine".