11226993897168 has 720 divisors, whose sum is σ = 39764146181760. Its totient is φ = 3053373926400.

The previous prime is 11226993897137. The next prime is 11226993897187. The reversal of 11226993897168 is 86179839962211.

11226993897168 is a `hidden beast` number, since 1 + 1 + 22 + 69 + 9 + 389 + 7 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11226993897096 and 11226993897105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 392249898 + ... + 392278518.

It is an arithmetic number, because the mean of its divisors is an integer number (55227980808).

Almost surely, 2^{11226993897168} is an apocalyptic number.

11226993897168 is a gapful number since it is divisible by the number (18) 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 11226993897168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882073090880).

11226993897168 is an abundant number, since it is smaller than the sum of its proper divisors (28537152284592).

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

11226993897168 is a wasteful number, since it uses less digits than its factorization.

11226993897168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28758 (or 28733 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 72.

The spelling of 11226993897168 in words is "eleven trillion, two hundred twenty-six billion, nine hundred ninety-three million, eight hundred ninety-seven thousand, one hundred sixty-eight".