166718040338304 has 4608 divisors, whose sum is σ = 703964701440000. Its totient is φ = 38682873298944.

The previous prime is 166718040338257. The next prime is 166718040338309. The reversal of 166718040338304 is 403833040817661.

It is a happy number.

166718040338304 is a `hidden beast` number, since 1 + 6 + 67 + 180 + 40 + 338 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166718040338309) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 697565022217 + ... + 697565022455.

It is an arithmetic number, because the mean of its divisors is an integer number (152770117500).

Almost surely, 2^{166718040338304} is an apocalyptic number.

166718040338304 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 166718040338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351982350720000).

166718040338304 is an abundant number, since it is smaller than the sum of its proper divisors (537246661101696).

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

166718040338304 is a wasteful number, since it uses less digits than its factorization.

166718040338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 166718040338304 in words is "one hundred sixty-six trillion, seven hundred eighteen billion, forty million, three hundred thirty-eight thousand, three hundred four".