224214705144 has 96 divisors (see below), whose sum is σ = 637113210240. Its totient is φ = 71141587200.

The previous prime is 224214705131. The next prime is 224214705163. The reversal of 224214705144 is 441507412422.

224214705144 is a `hidden beast` number, since 2 + 2 + 42 + 1 + 470 + 5 + 144 = 666.

224214705144 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 224214705099 and 224214705108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687247 + ... + 959550.

It is an arithmetic number, because the mean of its divisors is an integer number (6636595940).

Almost surely, 2^224214705144 is an apocalyptic number.

224214705144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224214705144 is an abundant number, since it is smaller than the sum of its proper divisors (412898505096).

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

224214705144 is a wasteful number, since it uses less digits than its factorization.

224214705144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646901 (or 1646894 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 224214705144 in words is "two hundred twenty-four billion, two hundred fourteen million, seven hundred five thousand, one hundred forty-four".