118217294705664 has 3960 divisors, whose sum is σ = 475212149402760. Its totient is φ = 29135559720960.

The previous prime is 118217294705663. The next prime is 118217294705669. The reversal of 118217294705664 is 466507492712811.

It is a happy number.

118217294705664 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 1 + 7 + 29 + 47 + 0 + 566 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26014896230400 + 92202398475264 = 5100480^2 + 9602208^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118217294705663) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1328284210132 + ... + 1328284210220.

It is an arithmetic number, because the mean of its divisors is an integer number (120003068031).

Almost surely, 2^{118217294705664} is an apocalyptic number.

118217294705664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118217294705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237606074701380).

118217294705664 is an abundant number, since it is smaller than the sum of its proper divisors (356994854697096).

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

118217294705664 is a wasteful number, since it uses less digits than its factorization.

118217294705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 118217294705664 in words is "one hundred eighteen trillion, two hundred seventeen billion, two hundred ninety-four million, seven hundred five thousand, six hundred sixty-four".