214838490000 has 200 divisors, whose sum is σ = 694240546912. Its totient is φ = 57231360000.

The previous prime is 214838489981. The next prime is 214838490019. The reversal of 214838490000 is 94838412.

It is an interprime number because it is at equal distance from previous prime (214838489981) and next prime (214838490019).

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34586895 + ... + 34593105.

Almost surely, 2^214838490000 is an apocalyptic number.

214838490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214838490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120273456).

214838490000 is an abundant number, since it is smaller than the sum of its proper divisors (479402056912).

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

214838490000 is a wasteful number, since it uses less digits than its factorization.

214838490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 214838490000 in words is "two hundred fourteen billion, eight hundred thirty-eight million, four hundred ninety thousand".