1106427524832 has 480 divisors, whose sum is σ = 3806182195200. Its totient is φ = 315167811840.

The previous prime is 1106427524773. The next prime is 1106427524843. The reversal of 1106427524832 is 2384257246011.

1106427524832 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 42 + 7 + 524 + 83 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 326281857 + ... + 326285247.

It is an arithmetic number, because the mean of its divisors is an integer number (7929546240).

Almost surely, 2^{1106427524832} is an apocalyptic number.

1106427524832 is a gapful number since it is divisible by the number (12) 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 1106427524832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903091097600).

1106427524832 is an abundant number, since it is smaller than the sum of its proper divisors (2699754670368).

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

1106427524832 is an equidigital number, since it uses as much as digits as its factorization.

1106427524832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1106427524832 in words is "one trillion, one hundred six billion, four hundred twenty-seven million, five hundred twenty-four thousand, eight hundred thirty-two".