11033352372224 has 384 divisors, whose sum is σ = 27997684444800. Its totient is φ = 4308947435520.

The previous prime is 11033352372221. The next prime is 11033352372239. The reversal of 11033352372224 is 42227325333011.

It is not an unprimeable number, because it can be changed into a prime (11033352372221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648980719 + ... + 1648987409.

It is an arithmetic number, because the mean of its divisors is an integer number (72910636575).

Almost surely, 2^{11033352372224} is an apocalyptic number.

11033352372224 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 11033352372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998842222400).

11033352372224 is an abundant number, since it is smaller than the sum of its proper divisors (16964332072576).

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

11033352372224 is an frugal number, since it uses more digits than its factorization.

11033352372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 11033352372224 in words is "eleven trillion, thirty-three billion, three hundred fifty-two million, three hundred seventy-two thousand, two hundred twenty-four".