462768801209 has 16 divisors (see below), whose sum is σ = 544264183680. Its totient is φ = 387914780160.

The previous prime is 462768801199. The next prime is 462768801223. The reversal of 462768801209 is 902108867264.

It is a cyclic number.

It is not a de Polignac number, because 462768801209 - 2¹⁶ = 462768735673 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (462768801109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629272 + ... + 1892105.

It is an arithmetic number, because the mean of its divisors is an integer number (34016511480).

Almost surely, 2^462768801209 is an apocalyptic number.

It is an amenable number.

462768801209 is a deficient number, since it is larger than the sum of its proper divisors (81495382471).

462768801209 is a wasteful number, since it uses less digits than its factorization.

462768801209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522320.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 462768801209 in words is "four hundred sixty-two billion, seven hundred sixty-eight million, eight hundred one thousand, two hundred nine".