224158747648 has 352 divisors, whose sum is σ = 520672299840. Its totient is φ = 95551488000.

The previous prime is 224158747621. The next prime is 224158747651. The reversal of 224158747648 is 846747851422.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 224158747592 and 224158747601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2056502218 + ... + 2056502326.

It is an arithmetic number, because the mean of its divisors is an integer number (1479182670).

Almost surely, 2^224158747648 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 224158747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260336149920).

224158747648 is an abundant number, since it is smaller than the sum of its proper divisors (296513552192).

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

224158747648 is a wasteful number, since it uses less digits than its factorization.

224158747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 58.

The spelling of 224158747648 in words is "two hundred twenty-four billion, one hundred fifty-eight million, seven hundred forty-seven thousand, six hundred forty-eight".