166445664 has 288 divisors, whose sum is σ = 579156480. Its totient is φ = 40888320.

The previous prime is 166445651. The next prime is 166445701. The reversal of 166445664 is 466544661.

166445664 = T₁₇₈₄ + T₁₇₈₅ + ... + T₁₈₈₂.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (414720) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870132 + ... + 1870220.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^166445664 is an apocalyptic number.

166445664 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 166445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

166445664 is an abundant number, since it is smaller than the sum of its proper divisors (412710816).

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

166445664 is a wasteful number, since it uses less digits than its factorization.

166445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 166445664 is about 12901.3822515264. The cubic root of 166445664 is about 550.0778556452.

The spelling of 166445664 in words is "one hundred sixty-six million, four hundred forty-five thousand, six hundred sixty-four".