973118664 has 128 divisors (see below), whose sum is σ = 3195936000. Its totient is φ = 268434432.

The previous prime is 973118651. The next prime is 973118719. The reversal of 973118664 is 466811379.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 32752 + ... + 54944.

It is an arithmetic number, because the mean of its divisors is an integer number (24968250).

Almost surely, 2^973118664 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 973118664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597968000).

973118664 is an abundant number, since it is smaller than the sum of its proper divisors (2222817336).

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

973118664 is a wasteful number, since it uses less digits than its factorization.

973118664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22244 (or 22234 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 973118664 is about 31194.8499595686. The cubic root of 973118664 is about 990.9580441147.

The spelling of 973118664 in words is "nine hundred seventy-three million, one hundred eighteen thousand, six hundred sixty-four".