166110464 has 144 divisors (see below), whose sum is σ = 391466880. Its totient is φ = 69672960.

The previous prime is 166110457. The next prime is 166110479. The reversal of 166110464 is 464011661.

166110464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2339549 + ... + 2339619.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^166110464 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 166110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195733440).

166110464 is an abundant number, since it is smaller than the sum of its proper divisors (225356416).

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

166110464 is a wasteful number, since it uses less digits than its factorization.

166110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 166110464 is about 12888.3848483819. The cubic root of 166110464 is about 549.7083456442.

The spelling of 166110464 in words is "one hundred sixty-six million, one hundred ten thousand, four hundred sixty-four".