460809216001 has 2 divisors, whose sum is σ = 460809216002. Its totient is φ = 460809216000.

The previous prime is 460809215987. The next prime is 460809216019. The reversal of 460809216001 is 100612908064.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 441794184976 + 19015031025 = 664676^2 + 137895^2 .

It is a cyclic number.

It is not a de Polignac number, because 460809216001 - 2³⁷ = 323370262529 is a prime.

It is not a weakly prime, because it can be changed into another prime (460809213001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230404608000 + 230404608001.

It is an arithmetic number, because the mean of its divisors is an integer number (230404608001).

Almost surely, 2^460809216001 is an apocalyptic number.

It is an amenable number.

460809216001 is a deficient number, since it is larger than the sum of its proper divisors (1).

460809216001 is an equidigital number, since it uses as much as digits as its factorization.

460809216001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 460809216001 in words is "four hundred sixty billion, eight hundred nine million, two hundred sixteen thousand, one".