1117721664 has 336 divisors, whose sum is σ = 3594689280. Its totient is φ = 330670080.

The previous prime is 1117721629. The next prime is 1117721677. The reversal of 1117721664 is 4661277111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21089062 + ... + 21089114.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^1117721664 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 1117721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797344640).

1117721664 is an abundant number, since it is smaller than the sum of its proper divisors (2476967616).

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

1117721664 is a wasteful number, since it uses less digits than its factorization.

1117721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1117721664 is about 33432.3445782673. The cubic root of 1117721664 is about 1037.7941610173.

Adding to 1117721664 its reverse (4661277111), we get a palindrome (5778998775).

The spelling of 1117721664 in words is "one billion, one hundred seventeen million, seven hundred twenty-one thousand, six hundred sixty-four".