1146110544306 has 128 divisors (see below), whose sum is σ = 3151075737600. Its totient is φ = 300688096320.

The previous prime is 1146110544289. The next prime is 1146110544307. The reversal of 1146110544306 is 6034450116411.

1146110544306 is a `hidden beast` number, since 1 + 1 + 4 + 611 + 0 + 5 + 4 + 4 + 30 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1146110544307) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 328015 + ... + 1549133.

It is an arithmetic number, because the mean of its divisors is an integer number (24617779200).

Almost surely, 2^{1146110544306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146110544306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575537868800).

1146110544306 is an abundant number, since it is smaller than the sum of its proper divisors (2004965193294).

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

1146110544306 is a wasteful number, since it uses less digits than its factorization.

1146110544306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221341 (or 1221335 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1146110544306 in words is "one trillion, one hundred forty-six billion, one hundred ten million, five hundred forty-four thousand, three hundred six".