462211000112264 has 32 divisors (see below), whose sum is σ = 937495923006720. Its totient is φ = 212371525394496.

The previous prime is 462211000112221. The next prime is 462211000112273.

462211000112264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462211000112264² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 462211000112264.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9964856942 + ... + 9964903325.

It is an arithmetic number, because the mean of its divisors is an integer number (29296747593960).

Almost surely, 2^{462211000112264} is an apocalyptic number.

It is an amenable number.

462211000112264 is an abundant number, since it is smaller than the sum of its proper divisors (475284922894456).

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

462211000112264 is a wasteful number, since it uses less digits than its factorization.

462211000112264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19929760509 (or 19929760505 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 462211000 and 112264, that added together give a palindrome (462323264).

The spelling of 462211000112264 in words is "four hundred sixty-two trillion, two hundred eleven billion, one hundred twelve thousand, two hundred sixty-four".