11223176616960 has 2112 divisors, whose sum is σ = 47195516712960. Its totient is φ = 2225405952000.

The previous prime is 11223176616929. The next prime is 11223176617049. The reversal of 11223176616960 is 6961667132211.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×11223176616960³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56970439582 + ... + 56970439778.

It is an arithmetic number, because the mean of its divisors is an integer number (22346362080).

Almost surely, 2^{11223176616960} is an apocalyptic number.

11223176616960 is a gapful number since it is divisible by the number (10) 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 11223176616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597758356480).

11223176616960 is an abundant number, since it is smaller than the sum of its proper divisors (35972340096000).

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

11223176616960 is a wasteful number, since it uses less digits than its factorization.

11223176616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 11223176616960 in words is "eleven trillion, two hundred twenty-three billion, one hundred seventy-six million, six hundred sixteen thousand, nine hundred sixty".