166822718466096 has 640 divisors, whose sum is σ = 614977438924800. Its totient is φ = 42037505280000.

The previous prime is 166822718466091. The next prime is 166822718466121. The reversal of 166822718466096 is 690664817228661.

It is a happy number.

166822718466096 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 2 + 2 + 7 + 1 + 8 + 4 + 6 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (166822718466091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243782821 + ... + 244466171.

It is an arithmetic number, because the mean of its divisors is an integer number (960902248320).

Almost surely, 2^{166822718466096} is an apocalyptic number.

166822718466096 is a gapful number since it is divisible by the number (16) 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 166822718466096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307488719462400).

166822718466096 is an abundant number, since it is smaller than the sum of its proper divisors (448154720458704).

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

166822718466096 is a wasteful number, since it uses less digits than its factorization.

166822718466096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683606 (or 683594 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 166822718466096 in words is "one hundred sixty-six trillion, eight hundred twenty-two billion, seven hundred eighteen million, four hundred sixty-six thousand, ninety-six".