11106863547228 has 432 divisors, whose sum is σ = 31089493038240. Its totient is φ = 3462902876160.

The previous prime is 11106863547193. The next prime is 11106863547229. The reversal of 11106863547228 is 82274536860111.

It is a happy number.

11106863547228 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 68 + 6 + 354 + 7 + 228 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106863547229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7439291650 + ... + 7439293142.

It is an arithmetic number, because the mean of its divisors is an integer number (71966419070).

Almost surely, 2^{11106863547228} is an apocalyptic number.

11106863547228 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 11106863547228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544746519120).

11106863547228 is an abundant number, since it is smaller than the sum of its proper divisors (19982629491012).

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

11106863547228 is a wasteful number, since it uses less digits than its factorization.

11106863547228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 11106863547228 in words is "eleven trillion, one hundred six billion, eight hundred sixty-three million, five hundred forty-seven thousand, two hundred twenty-eight".