462282282264 has 32 divisors (see below), whose sum is σ = 1260769861440. Its totient is φ = 140085540000.

The previous prime is 462282282247. The next prime is 462282282271.

462282282264 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 875534362 + ... + 875534889.

It is an arithmetic number, because the mean of its divisors is an integer number (39399058170).

Almost surely, 2^462282282264 is an apocalyptic number.

462282282264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

462282282264 is an abundant number, since it is smaller than the sum of its proper divisors (798487579176).

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

462282282264 is a wasteful number, since it uses less digits than its factorization.

462282282264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751069271 (or 1751069267 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The spelling of 462282282264 in words is "four hundred sixty-two billion, two hundred eighty-two million, two hundred eighty-two thousand, two hundred sixty-four".