214551144 has 24 divisors (see below), whose sum is σ = 581076210. Its totient is φ = 71517024.

The previous prime is 214551047. The next prime is 214551149. The reversal of 214551144 is 441155412.

214551144 is a `hidden beast` number, since 2 + 145 + 511 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 206496900 + 8054244 = 14370^2 + 2838^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (214551149) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1489867 + ... + 1490010.

Almost surely, 2^214551144 is an apocalyptic number.

214551144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214551144 is an abundant number, since it is smaller than the sum of its proper divisors (366525066).

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

214551144 is a wasteful number, since it uses less digits than its factorization.

214551144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979889 (or 2979882 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 214551144 is about 14647.5644391824. The cubic root of 214551144 is about 598.6554559193.

The spelling of 214551144 in words is "two hundred fourteen million, five hundred fifty-one thousand, one hundred forty-four".