11214311033424 has 320 divisors, whose sum is σ = 31136150016000. Its totient is φ = 3467697868800.

The previous prime is 11214311033381. The next prime is 11214311033447. The reversal of 11214311033424 is 42433011341211.

It is a junction number, because it is equal to n+sod(n) for n = 11214311033391 and 11214311033400.

It is a congruent number.

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, 10877119789 + ... + 10877120819.

It is an arithmetic number, because the mean of its divisors is an integer number (97300468800).

Almost surely, 2^{11214311033424} 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 11214311033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568075008000).

11214311033424 is an abundant number, since it is smaller than the sum of its proper divisors (19921838982576).

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

11214311033424 is a wasteful number, since it uses less digits than its factorization.

11214311033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11214311033424 its reverse (42433011341211), we get a palindrome (53647322374635).

The spelling of 11214311033424 in words is "eleven trillion, two hundred fourteen billion, three hundred eleven million, thirty-three thousand, four hundred twenty-four".