456098973201 has 21 divisors (see below), whose sum is σ = 683862975019. Its totient is φ = 304053825816.

The previous prime is 456098973199. The next prime is 456098973227. The reversal of 456098973201 is 102379890654.

The square root of 456098973201 is 675351.

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

456098973201 is a `hidden beast` number, since 4 + 5 + 609 + 8 + 9 + 7 + 3 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 452532017025 + 3566956176 = 672705^2 + 59724^2 .

It is not a de Polignac number, because 456098973201 - 2¹ = 456098973199 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456098973601) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18221971 + ... + 18246983.

It is a 1-persistent number, because it is pandigital, but 2⋅456098973201 = 912197946402 is not.

Almost surely, 2^456098973201 is an apocalyptic number.

456098973201 is the 675351-st square number.

456098973201 is the 337676-th centered octagonal number.

It is an amenable number.

456098973201 is a deficient number, since it is larger than the sum of its proper divisors (227764001818).

456098973201 is an frugal number, since it uses more digits than its factorization.

456098973201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50044 (or 25016 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 456098973201 in words is "four hundred fifty-six billion, ninety-eight million, nine hundred seventy-three thousand, two hundred one".