11221440333456 has 160 divisors (see below), whose sum is σ = 29913680401920. Its totient is φ = 3622887718912.

The previous prime is 11221440333443. The next prime is 11221440333491. The reversal of 11221440333456 is 65433304412211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166434280 + ... + 166501688.

It is an arithmetic number, because the mean of its divisors is an integer number (186960502512).

Almost surely, 2^{11221440333456} is an apocalyptic number.

11221440333456 is a gapful number since it is divisible by the number (16) 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 11221440333456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956840200960).

11221440333456 is an abundant number, since it is smaller than the sum of its proper divisors (18692240068464).

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

11221440333456 is a wasteful number, since it uses less digits than its factorization.

11221440333456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68233 (or 68227 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 11221440333456 its reverse (65433304412211), we get a palindrome (76654744745667).

The spelling of 11221440333456 in words is "eleven trillion, two hundred twenty-one billion, four hundred forty million, three hundred thirty-three thousand, four hundred fifty-six".