214013314302000 has 80 divisors (see below), whose sum is σ = 689978925328992. Its totient is φ = 57070217145600.

The previous prime is 214013314301959. The next prime is 214013314302049. The reversal of 214013314302000 is 203413310412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 17834436859 + ... + 17834448858.

Almost surely, 2^{214013314302000} is an apocalyptic number.

214013314302000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214013314302000 is an abundant number, since it is smaller than the sum of its proper divisors (475965611026992).

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

214013314302000 is a wasteful number, since it uses less digits than its factorization.

214013314302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35668885743 (or 35668885727 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214013314302000 its reverse (203413310412), we get a palindrome (214216727612412).

The spelling of 214013314302000 in words is "two hundred fourteen trillion, thirteen billion, three hundred fourteen million, three hundred two thousand".