1106228293632 has 936 divisors, whose sum is σ = 4078724832000. Its totient is φ = 282717388800.

The previous prime is 1106228293589. The next prime is 1106228293733. The reversal of 1106228293632 is 2363928226011.

1106228293632 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 2 + 2 + 8 + 2 + 9 + 3 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216890119 + ... + 2216890617.

It is an arithmetic number, because the mean of its divisors is an integer number (4357612000).

Almost surely, 2^{1106228293632} is an apocalyptic number.

1106228293632 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 1106228293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039362416000).

1106228293632 is an abundant number, since it is smaller than the sum of its proper divisors (2972496538368).

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

1106228293632 is a wasteful number, since it uses less digits than its factorization.

1106228293632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1106228293632 in words is "one trillion, one hundred six billion, two hundred twenty-eight million, two hundred ninety-three thousand, six hundred thirty-two".