214911144 has 192 divisors, whose sum is σ = 731203200. Its totient is φ = 57729024.

The previous prime is 214911139. The next prime is 214911211. The reversal of 214911144 is 441119412.

214911144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 47 ways as a sum of consecutive naturals, for example, 230872 + ... + 231800.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^214911144 is an apocalyptic number.

214911144 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 214911144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

214911144 is an abundant number, since it is smaller than the sum of its proper divisors (516292056).

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

214911144 is a wasteful number, since it uses less digits than its factorization.

214911144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 214911144 is about 14659.8480210403. The cubic root of 214911144 is about 598.9901011275.

The spelling of 214911144 in words is "two hundred fourteen million, nine hundred eleven thousand, one hundred forty-four".