338166144 has 64 divisors (see below), whose sum is σ = 998070000. Its totient is φ = 112720896.

The previous prime is 338166137. The next prime is 338166163. The reversal of 338166144 is 441661833.

It is a happy number.

338166144 is a `hidden beast` number, since 3 + 38 + 1 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338166144² = 228712681895657472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 338166099 and 338166108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45469 + ... + 52380.

Almost surely, 2^338166144 is an apocalyptic number.

It is an amenable number.

338166144 is an abundant number, since it is smaller than the sum of its proper divisors (659903856).

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

338166144 is an equidigital number, since it uses as much as digits as its factorization.

338166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97872 (or 97854 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 338166144 is about 18389.2942768340. The cubic root of 338166144 is about 696.6960931179.

The spelling of 338166144 in words is "three hundred thirty-eight million, one hundred sixty-six thousand, one hundred forty-four".