166946472 has 96 divisors (see below), whose sum is σ = 563734080. Its totient is φ = 43361280.

The previous prime is 166946441. The next prime is 166946503. The reversal of 166946472 is 274649661.

166946472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166946441) and next prime (166946503).

It is a super-2 number, since 2×166946472² = 55742249026493568, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9513 + ... + 20600.

It is an arithmetic number, because the mean of its divisors is an integer number (5872230).

Almost surely, 2^166946472 is an apocalyptic number.

166946472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166946472 is an abundant number, since it is smaller than the sum of its proper divisors (396787608).

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

166946472 is a wasteful number, since it uses less digits than its factorization.

166946472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30143 (or 30136 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 166946472 is about 12920.7767568363. The cubic root of 166946472 is about 550.6290015870.

The spelling of 166946472 in words is "one hundred sixty-six million, nine hundred forty-six thousand, four hundred seventy-two".