214768144 has 40 divisors (see below), whose sum is σ = 431034912. Its totient is φ = 103595520.

The previous prime is 214768109. The next prime is 214768189. The reversal of 214768144 is 441867412.

It is a happy number.

It is a super-2 number, since 2×214768144² = 92250711354409472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55224 + ... + 58984.

Almost surely, 2^214768144 is an apocalyptic number.

It is an amenable number.

214768144 is an abundant number, since it is smaller than the sum of its proper divisors (216266768).

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

214768144 is a wasteful number, since it uses less digits than its factorization.

214768144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3889 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 214768144 is about 14654.9699419685. The cubic root of 214768144 is about 598.8572173876.

The spelling of 214768144 in words is "two hundred fourteen million, seven hundred sixty-eight thousand, one hundred forty-four".