166643323149312 has 396 divisors, whose sum is σ = 499861619447736. Its totient is φ = 55525417574400.

The previous prime is 166643323149307. The next prime is 166643323149337. The reversal of 166643323149312 is 213941323346661.

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 35 ways as a sum of consecutive naturals, for example, 31247573398 + ... + 31247578730.

Almost surely, 2^{166643323149312} is an apocalyptic number.

166643323149312 is a gapful number since it is divisible by the number (12) 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 166643323149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249930809723868).

166643323149312 is an abundant number, since it is smaller than the sum of its proper divisors (333218296298424).

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

166643323149312 is an frugal number, since it uses more digits than its factorization.

166643323149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028 (or 9989 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 166643323149312 in words is "one hundred sixty-six trillion, six hundred forty-three billion, three hundred twenty-three million, one hundred forty-nine thousand, three hundred twelve".