206324151264144 has 45 divisors (see below), whose sum is σ = 577421544609403. Its totient is φ = 68774659632096.

The previous prime is 206324151264137. The next prime is 206324151264151. The reversal of 206324151264144 is 441462151423602.

The square root of 206324151264144 is 14363988.

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

206324151264144 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 241 + 5 + 1 + 264 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (206324151264137) and next prime (206324151264151).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206324151264144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 171769357 + ... + 172966355.

Almost surely, 2^{206324151264144} is an apocalyptic number.

206324151264144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

206324151264144 is the 14363988-th square number.

It is an amenable number.

206324151264144 is an abundant number, since it is smaller than the sum of its proper divisors (371097393345259).

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

206324151264144 is an frugal number, since it uses more digits than its factorization.

206324151264144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394012 (or 1197004 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 206324151264144 in words is "two hundred six trillion, three hundred twenty-four billion, one hundred fifty-one million, two hundred sixty-four thousand, one hundred forty-four".