4349541224448 has 1040 divisors, whose sum is σ = 16112515313664. Its totient is φ = 1140672430080.

The previous prime is 4349541224447. The next prime is 4349541224453. The reversal of 4349541224448 is 8444221459434.

4349541224448 is a `hidden beast` number, since 4 + 34 + 9 + 541 + 2 + 24 + 4 + 48 = 666.

It is a super-2 number, since 2×4349541224448² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4349541224394 and 4349541224403.

It is not an unprimeable number, because it can be changed into a prime (4349541224443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1618733761 + ... + 1618736447.

Almost surely, 2^{4349541224448} is an apocalyptic number.

4349541224448 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 4349541224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056257656832).

4349541224448 is an abundant number, since it is smaller than the sum of its proper divisors (11762974089216).

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

4349541224448 is a wasteful number, since it uses less digits than its factorization.

4349541224448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2757 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 4349541224448 in words is "four trillion, three hundred forty-nine billion, five hundred forty-one million, two hundred twenty-four thousand, four hundred forty-eight".