11648448000 has 960 divisors, whose sum is σ = 50189787648. Its totient is φ = 2637619200.

The previous prime is 11648447953. The next prime is 11648448061. The reversal of 11648448000 is 84484611.

11648448000 is a `hidden beast` number, since 1 + 1 + 648 + 4 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863947 + ... + 108864053.

Almost surely, 2^11648448000 is an apocalyptic number.

11648448000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11648448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25094893824).

11648448000 is an abundant number, since it is smaller than the sum of its proper divisors (38541339648).

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

11648448000 is an frugal number, since it uses more digits than its factorization.

11648448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11648448000 in words is "eleven billion, six hundred forty-eight million, four hundred forty-eight thousand".