11745048576 has 96 divisors (see below), whose sum is σ = 31365668880. Its totient is φ = 3908370432.

The previous prime is 11745048571. The next prime is 11745048577. The reversal of 11745048576 is 67584054711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11745048571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4748076 + ... + 4750548.

Almost surely, 2^11745048576 is an apocalyptic number.

11745048576 is a gapful number since it is divisible by the number (16) 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 11745048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682834440).

11745048576 is an abundant number, since it is smaller than the sum of its proper divisors (19620620304).

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

11745048576 is an equidigital number, since it uses as much as digits as its factorization.

11745048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 11745048576 in words is "eleven billion, seven hundred forty-five million, forty-eight thousand, five hundred seventy-six".