4445673652224 has 1280 divisors, whose sum is σ = 16199497036800. Its totient is φ = 1187896098816.

The previous prime is 4445673652177. The next prime is 4445673652267. The reversal of 4445673652224 is 4222563765444.

4445673652224 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 67 + 36 + 522 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19935756177 + ... + 19935756399.

It is an arithmetic number, because the mean of its divisors is an integer number (12655857060).

Almost surely, 2^{4445673652224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445673652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099748518400).

4445673652224 is an abundant number, since it is smaller than the sum of its proper divisors (11753823384576).

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

4445673652224 is an equidigital number, since it uses as much as digits as its factorization.

4445673652224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 301 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 54.

The spelling of 4445673652224 in words is "four trillion, four hundred forty-five billion, six hundred seventy-three million, six hundred fifty-two thousand, two hundred twenty-four".