214812286368000 has 144 divisors (see below), whose sum is σ = 713499009490176. Its totient is φ = 57283276339200.

The previous prime is 214812286367977. The next prime is 214812286368041. The reversal of 214812286368000 is 863682218412.

It is a super-2 number, since 2×214812286368000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118717992 + ... + 1118909991.

Almost surely, 2^{214812286368000} is an apocalyptic number.

214812286368000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214812286368000 is an abundant number, since it is smaller than the sum of its proper divisors (498686723122176).

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

214812286368000 is an equidigital number, since it uses as much as digits as its factorization.

214812286368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237628017 (or 2237627993 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 214812286368000 in words is "two hundred fourteen trillion, eight hundred twelve billion, two hundred eighty-six million, three hundred sixty-eight thousand".