166969453916160 has 1872 divisors, whose sum is σ = 702864508649472. Its totient is φ = 36519778713600.

The previous prime is 166969453916143. The next prime is 166969453916171. The reversal of 166969453916160 is 61619354969661.

166969453916160 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 6 + 9 + 453 + 9 + 1 + 6 + 160 = 666.

166969453916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 20384497665 + ... + 20384505855.

It is an arithmetic number, because the mean of its divisors is an integer number (375461810176).

Almost surely, 2^{166969453916160} is an apocalyptic number.

166969453916160 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 166969453916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351432254324736).

166969453916160 is an abundant number, since it is smaller than the sum of its proper divisors (535895054733312).

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

166969453916160 is a wasteful number, since it uses less digits than its factorization.

166969453916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 166969453916160 in words is "one hundred sixty-six trillion, nine hundred sixty-nine billion, four hundred fifty-three million, nine hundred sixteen thousand, one hundred sixty".