144224153220213 has 48 divisors (see below), whose sum is σ = 240250186762560. Its totient is φ = 82452726316800.

The previous prime is 144224153220179. The next prime is 144224153220293. The reversal of 144224153220213 is 312022351422441.

144224153220213 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 415 + 3 + 2 + 20 + 213 = 666.

It is not a de Polignac number, because 144224153220213 - 2¹⁰ = 144224153219189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144224153220293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164098618 + ... + 164975163.

It is an arithmetic number, because the mean of its divisors is an integer number (5005212224220).

Almost surely, 2^{144224153220213} is an apocalyptic number.

It is an amenable number.

144224153220213 is a deficient number, since it is larger than the sum of its proper divisors (96026033542347).

144224153220213 is a wasteful number, since it uses less digits than its factorization.

144224153220213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329074050 (or 329074047 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 144224153220213 in words is "one hundred forty-four trillion, two hundred twenty-four billion, one hundred fifty-three million, two hundred twenty thousand, two hundred thirteen".