166260546144 has 576 divisors, whose sum is σ = 617005928448. Its totient is φ = 41206579200.

The previous prime is 166260546119. The next prime is 166260546157. The reversal of 166260546144 is 441645062661.

166260546144 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 60 + 546 + 1 + 44 = 666.

166260546144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166260546144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50182632 + ... + 50185944.

It is an arithmetic number, because the mean of its divisors is an integer number (1071190848).

Almost surely, 2^166260546144 is an apocalyptic number.

166260546144 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 166260546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308502964224).

166260546144 is an abundant number, since it is smaller than the sum of its proper divisors (450745382304).

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

166260546144 is a wasteful number, since it uses less digits than its factorization.

166260546144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 166260546144 in words is "one hundred sixty-six billion, two hundred sixty million, five hundred forty-six thousand, one hundred forty-four".