214044204204144 has 40 divisors (see below), whose sum is σ = 614386141698320. Its totient is φ = 71348068067904.

The previous prime is 214044204204133. The next prime is 214044204204167. The reversal of 214044204204144 is 441402402440412.

214044204204144 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 442 + 0 + 4 + 204 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214044204204099 and 214044204204108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247736347027 + ... + 247736347890.

It is an arithmetic number, because the mean of its divisors is an integer number (15359653542458).

Almost surely, 2^{214044204204144} is an apocalyptic number.

214044204204144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214044204204144 is an abundant number, since it is smaller than the sum of its proper divisors (400341937494176).

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

214044204204144 is a wasteful number, since it uses less digits than its factorization.

214044204204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495472694934 (or 495472694922 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 214044204204144 its reverse (441402402440412), we get a palindrome (655446606644556).

The spelling of 214044204204144 in words is "two hundred fourteen trillion, forty-four billion, two hundred four million, two hundred four thousand, one hundred forty-four".