168948144 has 60 divisors (see below), whose sum is σ = 474895200. Its totient is φ = 56068992.

The previous prime is 168948107. The next prime is 168948149. The reversal of 168948144 is 441849861.

168948144 is a `hidden beast` number, since 168 + 9 + 481 + 4 + 4 = 666.

It is a super-2 number, since 2×168948144² = 57086950722089472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 168948144.

It is not an unprimeable number, because it can be changed into a prime (168948149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31962 + ... + 36870.

It is an arithmetic number, because the mean of its divisors is an integer number (7914920).

Almost surely, 2^168948144 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 168948144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237447600).

168948144 is an abundant number, since it is smaller than the sum of its proper divisors (305947056).

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

168948144 is a wasteful number, since it uses less digits than its factorization.

168948144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5153 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 168948144 is about 12998.0053854428. The cubic root of 168948144 is about 552.8209272307.

The spelling of 168948144 in words is "one hundred sixty-eight million, nine hundred forty-eight thousand, one hundred forty-four".