6448508091648 has 1008 divisors, whose sum is σ = 22707311088000. Its totient is φ = 1825988935680.

The previous prime is 6448508091637. The next prime is 6448508091653. The reversal of 6448508091648 is 8461908058446.

6448508091648 is a `hidden beast` number, since 6 + 4 + 485 + 0 + 8 + 0 + 91 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 8385575808 + ... + 8385576576.

Almost surely, 2^{6448508091648} 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 6448508091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353655544000).

6448508091648 is an abundant number, since it is smaller than the sum of its proper divisors (16258802996352).

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

6448508091648 is an frugal number, since it uses more digits than its factorization.

6448508091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 6448508091648 in words is "six trillion, four hundred forty-eight billion, five hundred eight million, ninety-one thousand, six hundred forty-eight".