456680874828649 has 27 divisors (see below), whose sum is σ = 468801188222583. Its totient is φ = 444871996507872.

The previous prime is 456680874828631. The next prime is 456680874828671. The reversal of 456680874828649 is 946828478086654.

The square root of 456680874828649 is 21370093.

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., 259234311570025 + 197446563258624 = 16100755^2 + 14051568^2 .

It is not a de Polignac number, because 456680874828649 - 2²¹ = 456680872731497 is a prime.

It is a super-2 number, since 2×456680874828649² (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 (456680874828349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129481391724 + ... + 129481395250.

Almost surely, 2^{456680874828649} is an apocalyptic number.

456680874828649 is the 21370093-rd square number.

456680874828649 is the 10685047-th centered octagonal number.

It is an amenable number.

456680874828649 is a deficient number, since it is larger than the sum of its proper divisors (12120313393934).

456680874828649 is an frugal number, since it uses more digits than its factorization.

456680874828649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 35672555520, while the sum is 85.

The spelling of 456680874828649 in words is "four hundred fifty-six trillion, six hundred eighty billion, eight hundred seventy-four million, eight hundred twenty-eight thousand, six hundred forty-nine".