11448787968 has 352 divisors, whose sum is σ = 35666928000. Its totient is φ = 3622993920.

The previous prime is 11448787949. The next prime is 11448787981. The reversal of 11448787968 is 86978784411.

11448787968 is a `hidden beast` number, since 1 + 14 + 487 + 87 + 9 + 68 = 666.

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, 87395263 + ... + 87395393.

It is an arithmetic number, because the mean of its divisors is an integer number (101326500).

Almost surely, 2^11448787968 is an apocalyptic number.

11448787968 is a gapful number since it is divisible by the number (18) 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 11448787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833464000).

11448787968 is an abundant number, since it is smaller than the sum of its proper divisors (24218140032).

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

11448787968 is a wasteful number, since it uses less digits than its factorization.

11448787968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 11448787968 in words is "eleven billion, four hundred forty-eight million, seven hundred eighty-seven thousand, nine hundred sixty-eight".