1224842408352 has 144 divisors (see below), whose sum is σ = 3508523764200. Its totient is φ = 405309229056.

The previous prime is 1224842408351. The next prime is 1224842408371. The reversal of 1224842408352 is 2538042484221.

1224842408352 is a `hidden beast` number, since 1 + 2 + 2 + 484 + 2 + 40 + 83 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95800154256 + 1129042254096 = 309516^2 + 1062564^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1224842408298 and 1224842408307.

It is not an unprimeable number, because it can be changed into a prime (1224842408351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85688118 + ... + 85702410.

Almost surely, 2^{1224842408352} is an apocalyptic number.

1224842408352 is a gapful number since it is divisible by the number (12) 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 1224842408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754261882100).

1224842408352 is an abundant number, since it is smaller than the sum of its proper divisors (2283681355848).

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

1224842408352 is a wasteful number, since it uses less digits than its factorization.

1224842408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 1224842408352 in words is "one trillion, two hundred twenty-four billion, eight hundred forty-two million, four hundred eight thousand, three hundred fifty-two".