455306455696 has 45 divisors (see below), whose sum is σ = 937194693001. Its totient is φ = 214240269056.

The previous prime is 455306455631. The next prime is 455306455699. The reversal of 455306455696 is 696554603554.

The square root of 455306455696 is 674764.

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., 354477344400 + 100829111296 = 595380^2 + 317536^2 .

It is a super-2 number, since 2×455306455696² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 455306455696.

It is not an unprimeable number, because it can be changed into a prime (455306455699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45878991 + ... + 45888913.

Almost surely, 2^455306455696 is an apocalyptic number.

455306455696 is the 674764-th square number.

It is an amenable number.

455306455696 is an abundant number, since it is smaller than the sum of its proper divisors (481888237305).

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

455306455696 is an frugal number, since it uses more digits than its factorization.

455306455696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 58.

The spelling of 455306455696 in words is "four hundred fifty-five billion, three hundred six million, four hundred fifty-five thousand, six hundred ninety-six".