11214033433344 has 216 divisors, whose sum is σ = 37472249348352. Its totient is φ = 3158882334720.

The previous prime is 11214033433333. The next prime is 11214033433403. The reversal of 11214033433344 is 44333433041211.

11214033433344 is a `hidden beast` number, since 1 + 1 + 214 + 0 + 3 + 3 + 433 + 3 + 4 + 4 = 666.

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 = 11214033433299 and 11214033433308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3751494 + ... + 6041669.

It is an arithmetic number, because the mean of its divisors is an integer number (173482635872).

Almost surely, 2^{11214033433344} is an apocalyptic number.

11214033433344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11214033433344 is an abundant number, since it is smaller than the sum of its proper divisors (26258215915008).

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

11214033433344 is an equidigital number, since it uses as much as digits as its factorization.

11214033433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793263 (or 9793246 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 11214033433344 its reverse (44333433041211), we get a palindrome (55547466474555).

The spelling of 11214033433344 in words is "eleven trillion, two hundred fourteen billion, thirty-three million, four hundred thirty-three thousand, three hundred forty-four".