4784249188224 has 192 divisors, whose sum is σ = 15302111338800. Its totient is φ = 1422418083840.

The previous prime is 4784249188223. The next prime is 4784249188237. The reversal of 4784249188224 is 4228819424874.

4784249188224 is a `hidden beast` number, since 4 + 7 + 8 + 42 + 491 + 8 + 82 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4784249188223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2890129 + ... + 4233360.

Almost surely, 2^{4784249188224} is an apocalyptic number.

4784249188224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4784249188224 is an abundant number, since it is smaller than the sum of its proper divisors (10517862150576).

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

4784249188224 is a wasteful number, since it uses less digits than its factorization.

4784249188224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123573 (or 7123558 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 4784249188224 in words is "four trillion, seven hundred eighty-four billion, two hundred forty-nine million, one hundred eighty-eight thousand, two hundred twenty-four".