456653469961 has 16 divisors (see below), whose sum is σ = 495273114000. Its totient is φ = 418534944768.

The previous prime is 456653469947. The next prime is 456653469989. The reversal of 456653469961 is 169964356654.

It can be written as a sum of positive squares in 8 ways, for example, as 116951004361 + 339702465600 = 341981^2 + 582840^2 .

It is a cyclic number.

It is not a de Polignac number, because 456653469961 - 2²³ = 456645081353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456653469893 and 456653469902.

It is not an unprimeable number, because it can be changed into a prime (456653469911) by changing a digit.

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, 5102245 + ... + 5190973.

It is an arithmetic number, because the mean of its divisors is an integer number (30954569625).

Almost surely, 2^456653469961 is an apocalyptic number.

It is an amenable number.

456653469961 is a deficient number, since it is larger than the sum of its proper divisors (38619644039).

456653469961 is a wasteful number, since it uses less digits than its factorization.

456653469961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91548.

The product of its digits is 125971200, while the sum is 64.

The spelling of 456653469961 in words is "four hundred fifty-six billion, six hundred fifty-three million, four hundred sixty-nine thousand, nine hundred sixty-one".