166367545344 has 1152 divisors, whose sum is σ = 659384893440. Its totient is φ = 39016857600.

The previous prime is 166367545339. The next prime is 166367545363. The reversal of 166367545344 is 443545763661.

166367545344 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 67 + 545 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309980609 + ... + 1309980735.

It is an arithmetic number, because the mean of its divisors is an integer number (572382720).

Almost surely, 2^166367545344 is an apocalyptic number.

166367545344 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 166367545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329692446720).

166367545344 is an abundant number, since it is smaller than the sum of its proper divisors (493017348096).

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

166367545344 is a wasteful number, since it uses less digits than its factorization.

166367545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 166367545344 in words is "one hundred sixty-six billion, three hundred sixty-seven million, five hundred forty-five thousand, three hundred forty-four".