166352954719968 has 576 divisors, whose sum is σ = 547154269159680. Its totient is φ = 49408927948800.

The previous prime is 166352954719933. The next prime is 166352954719969. The reversal of 166352954719968 is 869917459253661.

166352954719968 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 5 + 2 + 9 + 547 + 1 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166352954719969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3845311458 + ... + 3845354718.

It is an arithmetic number, because the mean of its divisors is an integer number (949920606180).

Almost surely, 2^{166352954719968} is an apocalyptic number.

166352954719968 is a gapful number since it is divisible by the number (18) 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 166352954719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273577134579840).

166352954719968 is an abundant number, since it is smaller than the sum of its proper divisors (380801314439712).

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

166352954719968 is a wasteful number, since it uses less digits than its factorization.

166352954719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44853 (or 44833 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 166352954719968 in words is "one hundred sixty-six trillion, three hundred fifty-two billion, nine hundred fifty-four million, seven hundred nineteen thousand, nine hundred sixty-eight".