166464166395072 has 448 divisors, whose sum is σ = 555444685651968. Its totient is φ = 42820448256000.

The previous prime is 166464166395029. The next prime is 166464166395151. The reversal of 166464166395072 is 270593661464661.

166464166395072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 166464166394994 and 166464166395012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2880422497 + ... + 2880480287.

It is an arithmetic number, because the mean of its divisors is an integer number (1239831887616).

Almost surely, 2^{166464166395072} is an apocalyptic number.

166464166395072 is a gapful number since it is divisible by the number (12) 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 166464166395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277722342825984).

166464166395072 is an abundant number, since it is smaller than the sum of its proper divisors (388980519256896).

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

166464166395072 is a wasteful number, since it uses less digits than its factorization.

166464166395072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61888 (or 61878 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 166464166395072 in words is "one hundred sixty-six trillion, four hundred sixty-four billion, one hundred sixty-six million, three hundred ninety-five thousand, seventy-two".