2443648463442 has 256 divisors, whose sum is σ = 5759487936000. Its totient is φ = 767155276800.

The previous prime is 2443648463407. The next prime is 2443648463489.

2443648463442 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 64 + 84 + 63 + 442 = 666.

2443648463442 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2443648463442² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2014548828 + ... + 2014550040.

It is an arithmetic number, because the mean of its divisors is an integer number (22497999750).

Almost surely, 2^{2443648463442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443648463442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879743968000).

2443648463442 is an abundant number, since it is smaller than the sum of its proper divisors (3315839472558).

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

2443648463442 is a wasteful number, since it uses less digits than its factorization.

2443648463442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 54.

The spelling of 2443648463442 in words is "two trillion, four hundred forty-three billion, six hundred forty-eight million, four hundred sixty-three thousand, four hundred forty-two".