11448618720 has 1152 divisors, whose sum is σ = 51379453440. Its totient is φ = 2105671680.

The previous prime is 11448618719. The next prime is 11448618743. The reversal of 11448618720 is 2781684411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83566492 + ... + 83566628.

It is an arithmetic number, because the mean of its divisors is an integer number (44600220).

Almost surely, 2^11448618720 is an apocalyptic number.

11448618720 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 11448618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25689726720).

11448618720 is an abundant number, since it is smaller than the sum of its proper divisors (39930834720).

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

11448618720 is a wasteful number, since it uses less digits than its factorization.

11448618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 11448618720 in words is "eleven billion, four hundred forty-eight million, six hundred eighteen thousand, seven hundred twenty".