11441609048064 has 272 divisors, whose sum is σ = 33068147954912. Its totient is φ = 3497948872704.

The previous prime is 11441609048059. The next prime is 11441609048143. The reversal of 11441609048064 is 46084090614411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401262672 + ... + 401291184.

Almost surely, 2^{11441609048064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441609048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534073977456).

11441609048064 is an abundant number, since it is smaller than the sum of its proper divisors (21626538906848).

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

11441609048064 is an equidigital number, since it uses as much as digits as its factorization.

11441609048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28718 (or 28688 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 11441609048064 in words is "eleven trillion, four hundred forty-one billion, six hundred nine million, forty-eight thousand, sixty-four".