388339602561 has 45 divisors (see below), whose sum is σ = 616395141241. Its totient is φ = 243604240128.

The previous prime is 388339602491. The next prime is 388339602611. The reversal of 388339602561 is 165206933883.

It is a happy number.

The square root of 388339602561 is 623169.

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

388339602561 is a `hidden beast` number, since 388 + 3 + 3 + 9 + 6 + 0 + 256 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9376242561 + 378963360000 = 96831^2 + 615600^2 .

It is not a de Polignac number, because 388339602561 - 2⁷ = 388339602433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 388339602498 and 388339602507.

It is not an unprimeable number, because it can be changed into a prime (388339602361) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95342821 + ... + 95346893.

Almost surely, 2^388339602561 is an apocalyptic number.

388339602561 is the 623169-th square number.

388339602561 is the 311585-th centered octagonal number.

It is an amenable number.

388339602561 is a deficient number, since it is larger than the sum of its proper divisors (228055538680).

388339602561 is an frugal number, since it uses more digits than its factorization.

388339602561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 388339602561 in words is "three hundred eighty-eight billion, three hundred thirty-nine million, six hundred two thousand, five hundred sixty-one".