11421352422144 has 576 divisors, whose sum is σ = 39118667212800. Its totient is φ = 3219552534528.

The previous prime is 11421352422127. The next prime is 11421352422211. The reversal of 11421352422144 is 44122425312411.

11421352422144 is a `hidden beast` number, since 1 + 1 + 4 + 213 + 5 + 2 + 422 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 11421352422099 and 11421352422108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2166003892 + ... + 2166009164.

It is an arithmetic number, because the mean of its divisors is an integer number (67914352800).

Almost surely, 2^{11421352422144} is an apocalyptic number.

11421352422144 is a gapful number since it is divisible by the number (14) 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 11421352422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559333606400).

11421352422144 is an abundant number, since it is smaller than the sum of its proper divisors (27697314790656).

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

11421352422144 is an equidigital number, since it uses as much as digits as its factorization.

11421352422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5877 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 11421352422144 its reverse (44122425312411), we get a palindrome (55543777734555).

The spelling of 11421352422144 in words is "eleven trillion, four hundred twenty-one billion, three hundred fifty-two million, four hundred twenty-two thousand, one hundred forty-four".