123363215361 has 45 divisors (see below), whose sum is σ = 185565038659. Its totient is φ = 78973587888.

The previous prime is 123363215323. The next prime is 123363215363. The reversal of 123363215361 is 163512363321.

The square root of 123363215361 is 351231.

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

123363215361 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 632 + 15 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88932186225 + 34431029136 = 298215^2 + 185556^2 .

It is not a de Polignac number, because 123363215361 - 2¹⁹ = 123362691073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123363215363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2327607811 + ... + 2327607863.

Almost surely, 2^123363215361 is an apocalyptic number.

123363215361 is the 351231-st square number.

123363215361 is the 175616-th centered octagonal number.

It is an amenable number.

123363215361 is a deficient number, since it is larger than the sum of its proper divisors (62201823298).

123363215361 is an frugal number, since it uses more digits than its factorization.

123363215361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 103 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Multiplying 123363215361 by its sum of digits (36), we get a square (4441075752996 = 2107386²).

Adding to 123363215361 its reverse (163512363321), we get a palindrome (286875578682).

It can be divided in two parts, 123363 and 215361, that added together give a square (338724 = 582²).

The spelling of 123363215361 in words is "one hundred twenty-three billion, three hundred sixty-three million, two hundred fifteen thousand, three hundred sixty-one".