214398144 has 112 divisors (see below), whose sum is σ = 642457440. Its totient is φ = 70087680.

The previous prime is 214398089. The next prime is 214398167. The reversal of 214398144 is 441893412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 214398099 and 214398108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90414 + ... + 92754.

Almost surely, 2^214398144 is an apocalyptic number.

214398144 is a gapful number since it is divisible by the number (24) 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 214398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321228720).

214398144 is an abundant number, since it is smaller than the sum of its proper divisors (428059296).

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

214398144 is a wasteful number, since it uses less digits than its factorization.

214398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2399 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 214398144 is about 14642.3407964710. The cubic root of 214398144 is about 598.5131183487.

The spelling of 214398144 in words is "two hundred fourteen million, three hundred ninety-eight thousand, one hundred forty-four".