11108845440000 has 4400 divisors, whose sum is σ = 54374659739136. Its totient is φ = 2207969280000.

The previous prime is 11108845439987. The next prime is 11108845440031. The reversal of 11108845440000 is 4454880111.

11108845440000 is a `hidden beast` number, since 1 + 1 + 108 + 8 + 4 + 544 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 482993279989 + ... + 482993280011.

Almost surely, 2^{11108845440000} is an apocalyptic number.

11108845440000 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 11108845440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27187329869568).

11108845440000 is an abundant number, since it is smaller than the sum of its proper divisors (43265814299136).

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

11108845440000 is an frugal number, since it uses more digits than its factorization.

11108845440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 11108845440000 in words is "eleven trillion, one hundred eight billion, eight hundred forty-five million, four hundred forty thousand".