11021442061344 has 192 divisors, whose sum is σ = 34013385060480. Its totient is φ = 3080727429120.

The previous prime is 11021442061327. The next prime is 11021442061349. The reversal of 11021442061344 is 44316024412011.

It is a super-2 number, since 2×11021442061344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11021442061349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19057854 + ... + 19627650.

It is an arithmetic number, because the mean of its divisors is an integer number (177153047190).

Almost surely, 2^{11021442061344} 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 11021442061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006692530240).

11021442061344 is an abundant number, since it is smaller than the sum of its proper divisors (22991942999136).

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

11021442061344 is a wasteful number, since it uses less digits than its factorization.

11021442061344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571243 (or 571235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 11021442061344 its reverse (44316024412011), we get a palindrome (55337466473355).

The spelling of 11021442061344 in words is "eleven trillion, twenty-one billion, four hundred forty-two million, sixty-one thousand, three hundred forty-four".