166443414144 has 256 divisors, whose sum is σ = 516195072000. Its totient is φ = 46534938624.

The previous prime is 166443414097. The next prime is 166443414157. The reversal of 166443414144 is 441414344661.

It is a super-2 number, since 2×166443414144² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166443414096 and 166443414105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36315277 + ... + 36319859.

It is an arithmetic number, because the mean of its divisors is an integer number (2016387000).

Almost surely, 2^166443414144 is an apocalyptic number.

166443414144 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 166443414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258097536000).

166443414144 is an abundant number, since it is smaller than the sum of its proper divisors (349751657856).

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

166443414144 is a wasteful number, since it uses less digits than its factorization.

166443414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4883 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The spelling of 166443414144 in words is "one hundred sixty-six billion, four hundred forty-three million, four hundred fourteen thousand, one hundred forty-four".