11648980224 has 288 divisors, whose sum is σ = 39935508480. Its totient is φ = 3280435200.

The previous prime is 11648980219. The next prime is 11648980243. The reversal of 11648980224 is 42208984611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 11648980224.

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, 3433569 + ... + 3436959.

It is an arithmetic number, because the mean of its divisors is an integer number (138664960).

Almost surely, 2^11648980224 is an apocalyptic number.

11648980224 is a gapful number since it is divisible by the number (14) 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 11648980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19967754240).

11648980224 is an abundant number, since it is smaller than the sum of its proper divisors (28286528256).

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

11648980224 is an equidigital number, since it uses as much as digits as its factorization.

11648980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11648980224 in words is "eleven billion, six hundred forty-eight million, nine hundred eighty thousand, two hundred twenty-four".