166788746432000 has 1440 divisors, whose sum is σ = 536122163985408. Its totient is φ = 51561861120000.

The previous prime is 166788746431943. The next prime is 166788746432023. The reversal of 166788746432000 is 234647887661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48190910270 + ... + 48190913730.

Almost surely, 2^{166788746432000} is an apocalyptic number.

166788746432000 is a gapful number since it is divisible by the number (10) 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 166788746432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268061081992704).

166788746432000 is an abundant number, since it is smaller than the sum of its proper divisors (369333417553408).

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

166788746432000 is a wasteful number, since it uses less digits than its factorization.

166788746432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 62.

The spelling of 166788746432000 in words is "one hundred sixty-six trillion, seven hundred eighty-eight billion, seven hundred forty-six million, four hundred thirty-two thousand".