2448466589952 has 360 divisors, whose sum is σ = 7463051164800. Its totient is φ = 798171107328.

The previous prime is 2448466589923. The next prime is 2448466589993. The reversal of 2448466589952 is 2599856648442.

2448466589952 is a `hidden beast` number, since 2 + 4 + 484 + 6 + 6 + 5 + 8 + 99 + 52 = 666.

It is a super-2 number, since 2×2448466589952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241009449 + ... + 241019607.

It is an arithmetic number, because the mean of its divisors is an integer number (20730697680).

Almost surely, 2^{2448466589952} 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 2448466589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731525582400).

2448466589952 is an abundant number, since it is smaller than the sum of its proper divisors (5014584574848).

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

2448466589952 is a wasteful number, since it uses less digits than its factorization.

2448466589952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10420 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 2448466589952 in words is "two trillion, four hundred forty-eight billion, four hundred sixty-six million, five hundred eighty-nine thousand, nine hundred fifty-two".