1016446636296 has 768 divisors, whose sum is σ = 3658374720000. Its totient is φ = 252634152960.

The previous prime is 1016446636291. The next prime is 1016446636327. The reversal of 1016446636296 is 6926366446101.

1016446636296 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 4 + 6 + 6 + 3 + 629 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1016446636291) 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 191 ways as a sum of consecutive naturals, for example, 1714074976 + ... + 1714075568.

It is an arithmetic number, because the mean of its divisors is an integer number (4763508750).

Almost surely, 2^{1016446636296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016446636296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829187360000).

1016446636296 is an abundant number, since it is smaller than the sum of its proper divisors (2641928083704).

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

1016446636296 is a wasteful number, since it uses less digits than its factorization.

1016446636296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1016446636296 in words is "one trillion, sixteen billion, four hundred forty-six million, six hundred thirty-six thousand, two hundred ninety-six".