117918065664 has 495 divisors, whose sum is σ = 402725631633. Its totient is φ = 33229357056.

The previous prime is 117918065659. The next prime is 117918065669. The reversal of 117918065664 is 466560819711.

The square root of 117918065664 is 343392.

It is a perfect power (a square), and thus also a powerful number.

117918065664 is a `hidden beast` number, since 1 + 1 + 79 + 1 + 8 + 0 + 6 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (117918065659) and next prime (117918065669).

It can be written as a sum of positive squares in only one way, i.e., 66936038400 + 50982027264 = 258720^2 + 225792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117918065664.

It is not an unprimeable number, because it can be changed into a prime (117918065669) 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 44 ways as a sum of consecutive naturals, for example, 1615315932 + ... + 1615316004.

Almost surely, 2^117918065664 is an apocalyptic number.

117918065664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

117918065664 is the 343392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117918065664

117918065664 is an abundant number, since it is smaller than the sum of its proper divisors (284807565969).

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

117918065664 is an frugal number, since it uses more digits than its factorization.

117918065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 117918065664 in words is "one hundred seventeen billion, nine hundred eighteen million, sixty-five thousand, six hundred sixty-four".