4920579524448 has 144 divisors (see below), whose sum is σ = 16184557299456. Its totient is φ = 1388941505280.

The previous prime is 4920579524423. The next prime is 4920579524449. The reversal of 4920579524448 is 8444259750294.

It is a happy number.

4920579524448 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 579 + 52 + 4 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920579524449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14536068 + ... + 14870723.

It is an arithmetic number, because the mean of its divisors is an integer number (112392759024).

Almost surely, 2^{4920579524448} is an apocalyptic number.

4920579524448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4920579524448 is an abundant number, since it is smaller than the sum of its proper divisors (11263977775008).

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

4920579524448 is a wasteful number, since it uses less digits than its factorization.

4920579524448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29406897 (or 29406886 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4920579524448 in words is "four trillion, nine hundred twenty billion, five hundred seventy-nine million, five hundred twenty-four thousand, four hundred forty-eight".