168146496 has 112 divisors (see below), whose sum is σ = 564977280. Its totient is φ = 48038400.

The previous prime is 168146477. The next prime is 168146497. The reversal of 168146496 is 694641861.

168146496 is a `hidden beast` number, since 16 + 8 + 146 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (168146497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146 + ... + 19046.

It is an arithmetic number, because the mean of its divisors is an integer number (5044440).

Almost surely, 2^168146496 is an apocalyptic number.

168146496 is a gapful number since it is divisible by the number (16) 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 168146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282488640).

168146496 is an abundant number, since it is smaller than the sum of its proper divisors (396830784).

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

168146496 is a wasteful number, since it uses less digits than its factorization.

168146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13929 (or 13913 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 168146496 is about 12967.1313712787. The cubic root of 168146496 is about 551.9451741389.

The spelling of 168146496 in words is "one hundred sixty-eight million, one hundred forty-six thousand, four hundred ninety-six".