11122666384464 has 240 divisors, whose sum is σ = 32592651436800. Its totient is φ = 3671877795840.

The previous prime is 11122666384411. The next prime is 11122666384477. The reversal of 11122666384464 is 46448366622111.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11122666384464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229550512 + ... + 229598960.

It is an arithmetic number, because the mean of its divisors is an integer number (135802714320).

Almost surely, 2^{11122666384464} 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 11122666384464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296325718400).

11122666384464 is an abundant number, since it is smaller than the sum of its proper divisors (21469985052336).

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

11122666384464 is a wasteful number, since it uses less digits than its factorization.

11122666384464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49040 (or 49022 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 11122666384464 in words is "eleven trillion, one hundred twenty-two billion, six hundred sixty-six million, three hundred eighty-four thousand, four hundred sixty-four".