11220339456 has 432 divisors, whose sum is σ = 36370363680. Its totient is φ = 3409182720.

The previous prime is 11220339443. The next prime is 11220339499. The reversal of 11220339456 is 65493302211.

11220339456 is a `hidden beast` number, since 1 + 12 + 203 + 394 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11220339456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81900220 + ... + 81900356.

Almost surely, 2^11220339456 is an apocalyptic number.

11220339456 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 11220339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185181840).

11220339456 is an abundant number, since it is smaller than the sum of its proper divisors (25150024224).

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

11220339456 is a wasteful number, since it uses less digits than its factorization.

11220339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11220339456 in words is "eleven billion, two hundred twenty million, three hundred thirty-nine thousand, four hundred fifty-six".