11748948480 has 640 divisors, whose sum is σ = 44075750400. Its totient is φ = 2963423232.

The previous prime is 11748948467. The next prime is 11748948517. The reversal of 11748948480 is 8484984711.

11748948480 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 89 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 175357407 + ... + 175357473.

It is an arithmetic number, because the mean of its divisors is an integer number (68868360).

Almost surely, 2^11748948480 is an apocalyptic number.

11748948480 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 11748948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037875200).

11748948480 is an abundant number, since it is smaller than the sum of its proper divisors (32326801920).

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

11748948480 is an equidigital number, since it uses as much as digits as its factorization.

11748948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 11748948480 in words is "eleven billion, seven hundred forty-eight million, nine hundred forty-eight thousand, four hundred eighty".