166683643344 has 320 divisors, whose sum is σ = 509738803200. Its totient is φ = 52040102400.

The previous prime is 166683643283. The next prime is 166683643363. The reversal of 166683643344 is 443346386661.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102826854 + ... + 102828474.

It is an arithmetic number, because the mean of its divisors is an integer number (1592933760).

Almost surely, 2^166683643344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166683643344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254869401600).

166683643344 is an abundant number, since it is smaller than the sum of its proper divisors (343055159856).

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

166683643344 is a wasteful number, since it uses less digits than its factorization.

166683643344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1859 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 166683643344 in words is "one hundred sixty-six billion, six hundred eighty-three million, six hundred forty-three thousand, three hundred forty-four".