4358223387648 has 880 divisors, whose sum is σ = 14940162800640. Its totient is φ = 1255060832256.

The previous prime is 4358223387647. The next prime is 4358223387667. The reversal of 4358223387648 is 8467833228534.

4358223387648 is a `hidden beast` number, since 4 + 3 + 582 + 2 + 3 + 3 + 8 + 7 + 6 + 48 = 666.

It is a super-2 number, since 2×4358223387648² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4358223387641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1165610163 + ... + 1165613901.

It is an arithmetic number, because the mean of its divisors is an integer number (16977457728).

Almost surely, 2^{4358223387648} is an apocalyptic number.

4358223387648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4358223387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470081400320).

4358223387648 is an abundant number, since it is smaller than the sum of its proper divisors (10581939412992).

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

4358223387648 is a wasteful number, since it uses less digits than its factorization.

4358223387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3827 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 4358223387648 in words is "four trillion, three hundred fifty-eight billion, two hundred twenty-three million, three hundred eighty-seven thousand, six hundred forty-eight".