2448135457632 has 192 divisors, whose sum is σ = 7577979494400. Its totient is φ = 766258513920.

The previous prime is 2448135457613. The next prime is 2448135457693. The reversal of 2448135457632 is 2367545318442.

2448135457632 is a `hidden beast` number, since 2 + 4 + 4 + 8 + 1 + 35 + 4 + 576 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6137169 + ... + 6523887.

It is an arithmetic number, because the mean of its divisors is an integer number (39468643200).

Almost surely, 2^{2448135457632} 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 2448135457632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788989747200).

2448135457632 is an abundant number, since it is smaller than the sum of its proper divisors (5129844036768).

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

2448135457632 is a wasteful number, since it uses less digits than its factorization.

2448135457632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387186 (or 387172 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 2448135457632 in words is "two trillion, four hundred forty-eight billion, one hundred thirty-five million, four hundred fifty-seven thousand, six hundred thirty-two".