123565607361 has 81 divisors (see below), whose sum is σ = 219375556803. Its totient is φ = 66816731520.

The previous prime is 123565607359. The next prime is 123565607387. The reversal of 123565607361 is 163706565321.

The square root of 123565607361 is 351519.

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

123565607361 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 6 + 5 + 607 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21676967361 + 101888640000 = 147231^2 + 319200^2 .

It is not a de Polignac number, because 123565607361 - 2¹ = 123565607359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123565607351) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140255641 + ... + 140256521.

Almost surely, 2^123565607361 is an apocalyptic number.

123565607361 is the 351519-th square number.

123565607361 is the 175760-th centered octagonal number.

It is an amenable number.

123565607361 is a deficient number, since it is larger than the sum of its proper divisors (95809949442).

123565607361 is an frugal number, since it uses more digits than its factorization.

123565607361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 123565607361 in words is "one hundred twenty-three billion, five hundred sixty-five million, six hundred seven thousand, three hundred sixty-one".