166431600411104 has 288 divisors, whose sum is σ = 394593408147456. Its totient is φ = 68827186391040.

The previous prime is 166431600411091. The next prime is 166431600411179. The reversal of 166431600411104 is 401114006134661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59932155764 + ... + 59932158540.

It is an arithmetic number, because the mean of its divisors is an integer number (1370116000512).

Almost surely, 2^{166431600411104} is an apocalyptic number.

166431600411104 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 166431600411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197296704073728).

166431600411104 is an abundant number, since it is smaller than the sum of its proper divisors (228161807736352).

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

166431600411104 is a wasteful number, since it uses less digits than its factorization.

166431600411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

Adding to 166431600411104 its reverse (401114006134661), we get a palindrome (567545606545765).

The spelling of 166431600411104 in words is "one hundred sixty-six trillion, four hundred thirty-one billion, six hundred million, four hundred eleven thousand, one hundred four".