368775638361 has 81 divisors (see below), whose sum is σ = 603863642109. Its totient is φ = 216751309632.

The previous prime is 368775638359. The next prime is 368775638369. The reversal of 368775638361 is 163836577863.

The square root of 368775638361 is 607269.

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

368775638361 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 7 + 563 + 8 + 3 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36031252761 + 332744385600 = 189819^2 + 576840^2 .

It is not a de Polignac number, because 368775638361 - 2¹ = 368775638359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (368775638369) 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, 544719955 + ... + 544720631.

Almost surely, 2^368775638361 is an apocalyptic number.

368775638361 is the 607269-th square number.

368775638361 is the 303635-th centered octagonal number.

It is an amenable number.

368775638361 is a deficient number, since it is larger than the sum of its proper divisors (235088003748).

368775638361 is an equidigital number, since it uses as much as digits as its factorization.

368775638361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 716 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 368775638361 in words is "three hundred sixty-eight billion, seven hundred seventy-five million, six hundred thirty-eight thousand, three hundred sixty-one".