284601977361 has 27 divisors (see below), whose sum is σ = 445179227259. Its totient is φ = 175126874832.

The previous prime is 284601977351. The next prime is 284601977371. The reversal of 284601977361 is 163779106482.

The square root of 284601977361 is 533481.

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

284601977361 is a `hidden beast` number, since 28 + 4 + 601 + 9 + 7 + 7 + 3 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (284601977351) and next prime (284601977371).

It can be written as a sum of positive squares in only one way, i.e., 42100884225 + 242501093136 = 205185^2 + 492444^2 .

It is not a de Polignac number, because 284601977361 - 2⁹ = 284601976849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 284601977298 and 284601977307.

It is not an unprimeable number, because it can be changed into a prime (284601977351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20798920 + ... + 20812598.

Almost surely, 2^284601977361 is an apocalyptic number.

284601977361 is the 533481-st square number.

284601977361 is the 266741-st centered octagonal number.

It is an amenable number.

284601977361 is a deficient number, since it is larger than the sum of its proper divisors (160577249898).

284601977361 is an frugal number, since it uses more digits than its factorization.

284601977361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27390 (or 13695 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 284601977361 in words is "two hundred eighty-four billion, six hundred one million, nine hundred seventy-seven thousand, three hundred sixty-one".