11322085564416 has 224 divisors, whose sum is σ = 33305092444800. Its totient is φ = 3392377978880.

The previous prime is 11322085564409. The next prime is 11322085564477. The reversal of 11322085564416 is 61446558022311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23824615 + ... + 24295193.

Almost surely, 2^{11322085564416} is an apocalyptic number.

11322085564416 is a gapful number since it is divisible by the number (16) 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 11322085564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652546222400).

11322085564416 is an abundant number, since it is smaller than the sum of its proper divisors (21983006880384).

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

11322085564416 is an equidigital number, since it uses as much as digits as its factorization.

11322085564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470708 (or 470684 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 11322085564416 in words is "eleven trillion, three hundred twenty-two billion, eighty-five million, five hundred sixty-four thousand, four hundred sixteen".