1106527533408 has 216 divisors, whose sum is σ = 3640797833400. Its totient is φ = 317663216640.

The previous prime is 1106527533403. The next prime is 1106527533437. The reversal of 1106527533408 is 8043357256011.

It is a happy number.

1106527533408 is a `hidden beast` number, since 1 + 10 + 65 + 2 + 7 + 533 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106527533403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173493 + ... + 1497716.

It is an arithmetic number, because the mean of its divisors is an integer number (16855545525).

Almost surely, 2^{1106527533408} is an apocalyptic number.

1106527533408 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 1106527533408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820398916700).

1106527533408 is an abundant number, since it is smaller than the sum of its proper divisors (2534270299992).

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

1106527533408 is a wasteful number, since it uses less digits than its factorization.

1106527533408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671266 (or 1671244 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1106527533408 in words is "one trillion, one hundred six billion, five hundred twenty-seven million, five hundred thirty-three thousand, four hundred eight".