11022375647808 has 336 divisors, whose sum is σ = 38910099878400. Its totient is φ = 3047660743680.

The previous prime is 11022375647807. The next prime is 11022375647903. The reversal of 11022375647808 is 80874657322011.

11022375647808 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 3 + 7 + 564 + 78 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11022375647807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 525198 + ... + 4724466.

Almost surely, 2^{11022375647808} is an apocalyptic number.

11022375647808 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 11022375647808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455049939200).

11022375647808 is an abundant number, since it is smaller than the sum of its proper divisors (27887724230592).

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

11022375647808 is a wasteful number, since it uses less digits than its factorization.

11022375647808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199335 (or 4199312 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 11022375647808 in words is "eleven trillion, twenty-two billion, three hundred seventy-five million, six hundred forty-seven thousand, eight hundred eight".