239146368352164 has 729 divisors, whose sum is σ = 791458957690947. Its totient is φ = 63011444251392.

The previous prime is 239146368352147. The next prime is 239146368352189. The reversal of 239146368352164 is 461253863641932.

The square root of 239146368352164 is 15464358.

It is a perfect power (a square), and thus also a powerful number.

239146368352164 is a `hidden beast` number, since 2 + 3 + 9 + 1 + 4 + 63 + 68 + 352 + 164 = 666.

239146368352164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1715497452900 + 237430870899264 = 1309770^2 + 15408792^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 227975565112 + ... + 227975566160.

Almost surely, 2^{239146368352164} is an apocalyptic number.

239146368352164 is the 15464358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239146368352164

239146368352164 is an abundant number, since it is smaller than the sum of its proper divisors (552312589338783).

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

239146368352164 is an frugal number, since it uses more digits than its factorization.

239146368352164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 1074 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 239146368352164 in words is "two hundred thirty-nine trillion, one hundred forty-six billion, three hundred sixty-eight million, three hundred fifty-two thousand, one hundred sixty-four".