166443933348 has 384 divisors, whose sum is σ = 551918223360. Its totient is φ = 42122280960.

The previous prime is 166443933347. The next prime is 166443933373. The reversal of 166443933348 is 843339344661.

It is a happy number.

166443933348 is a `hidden beast` number, since 166 + 4 + 439 + 3 + 3 + 3 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 166443933294 and 166443933303.

It is not an unprimeable number, because it can be changed into a prime (166443933347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100448136 + ... + 100449792.

It is an arithmetic number, because the mean of its divisors is an integer number (1437287040).

Almost surely, 2^166443933348 is an apocalyptic number.

166443933348 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 166443933348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275959111680).

166443933348 is an abundant number, since it is smaller than the sum of its proper divisors (385474290012).

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

166443933348 is a wasteful number, since it uses less digits than its factorization.

166443933348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 166443933348 in words is "one hundred sixty-six billion, four hundred forty-three million, nine hundred thirty-three thousand, three hundred forty-eight".