1106389964160 has 384 divisors, whose sum is σ = 4266780204960. Its totient is φ = 272341647360.

The previous prime is 1106389964137. The next prime is 1106389964171. The reversal of 1106389964160 is 614699836011.

It is a happy number.

1106389964160 is a `hidden beast` number, since 1 + 1 + 0 + 63 + 89 + 96 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1106389964097 and 1106389964106.

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 47 ways as a sum of consecutive naturals, for example, 1748140 + ... + 2295380.

Almost surely, 2^{1106389964160} is an apocalyptic number.

1106389964160 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 1106389964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133390102480).

1106389964160 is an abundant number, since it is smaller than the sum of its proper divisors (3160390240800).

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

1106389964160 is an equidigital number, since it uses as much as digits as its factorization.

1106389964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547288 (or 547264 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1106389964160 in words is "one trillion, one hundred six billion, three hundred eighty-nine million, nine hundred sixty-four thousand, one hundred sixty".