460210222012064 has 48 divisors (see below), whose sum is σ = 939936783721320. Its totient is φ = 221541073797120.

The previous prime is 460210222012039. The next prime is 460210222012127.

460210222012064 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 364289901504400 + 95920320507664 = 19086380^2 + 9793892^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 460210222012064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702103277 + ... + 702758444.

Almost surely, 2^{460210222012064} is an apocalyptic number.

It is an amenable number.

460210222012064 is an abundant number, since it is smaller than the sum of its proper divisors (479726561709256).

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

460210222012064 is a wasteful number, since it uses less digits than its factorization.

460210222012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404862113 (or 1404862105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 460210222012064 in words is "four hundred sixty trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, sixty-four".