2448257688576 has 528 divisors, whose sum is σ = 8553448126080. Its totient is φ = 689622958080.

The previous prime is 2448257688563. The next prime is 2448257688581. The reversal of 2448257688576 is 6758867528442.

2448257688576 is a `hidden beast` number, since 2 + 4 + 48 + 2 + 5 + 7 + 6 + 8 + 8 + 576 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96174666 + ... + 96200118.

It is an arithmetic number, because the mean of its divisors is an integer number (16199712360).

Almost surely, 2^{2448257688576} 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 2448257688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276724063040).

2448257688576 is an abundant number, since it is smaller than the sum of its proper divisors (6105190437504).

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

2448257688576 is a wasteful number, since it uses less digits than its factorization.

2448257688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25567 (or 25536 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 2448257688576 in words is "two trillion, four hundred forty-eight billion, two hundred fifty-seven million, six hundred eighty-eight thousand, five hundred seventy-six".