1114944005664 has 384 divisors, whose sum is σ = 3459988224000. Its totient is φ = 348308812800.

The previous prime is 1114944005663. The next prime is 1114944005719. The reversal of 1114944005664 is 4665004494111.

1114944005664 is a `hidden beast` number, since 1 + 1 + 1 + 49 + 4 + 40 + 0 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1114944005663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944067154 + ... + 944068334.

It is an arithmetic number, because the mean of its divisors is an integer number (9010386000).

Almost surely, 2^{1114944005664} 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 1114944005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729994112000).

1114944005664 is an abundant number, since it is smaller than the sum of its proper divisors (2345044218336).

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

1114944005664 is a wasteful number, since it uses less digits than its factorization.

1114944005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 1114944005664 its reverse (4665004494111), we get a palindrome (5779948499775).

The spelling of 1114944005664 in words is "one trillion, one hundred fourteen billion, nine hundred forty-four million, five thousand, six hundred sixty-four".