2448861933456 has 225 divisors, whose sum is σ = 7532112086499. Its totient is φ = 767969952768.

The previous prime is 2448861933449. The next prime is 2448861933523. The reversal of 2448861933456 is 6543391688442.

The square root of 2448861933456 is 1564884.

It is a perfect power (a square), and thus also a powerful number.

2448861933456 is a `hidden beast` number, since 2 + 4 + 4 + 8 + 8 + 619 + 3 + 3 + 4 + 5 + 6 = 666.

2448861933456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121162471056 + 2327699462400 = 348084^2 + 1525680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2448861933393 and 2448861933402.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 957707730 + ... + 957710286.

Almost surely, 2^{2448861933456} is an apocalyptic number.

2448861933456 is the 1564884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2448861933456

2448861933456 is an abundant number, since it is smaller than the sum of its proper divisors (5083250153043).

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

2448861933456 is an frugal number, since it uses more digits than its factorization.

2448861933456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 2579 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 2448861933456 in words is "two trillion, four hundred forty-eight billion, eight hundred sixty-one million, nine hundred thirty-three thousand, four hundred fifty-six".