368916538225 has 27 divisors (see below), whose sum is σ = 460096385931. Its totient is φ = 293439841200.

The previous prime is 368916538223. The next prime is 368916538279. The reversal of 368916538225 is 522835619863.

The square root of 368916538225 is 607385.

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

It can be written as a sum of positive squares in only one way, i.e., 132809953761 + 236106584464 = 364431^2 + 485908^2 .

It is not a de Polignac number, because 368916538225 - 2¹ = 368916538223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 368916538225.

It is not an unprimeable number, because it can be changed into a prime (368916538223) 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, 1005221992 + ... + 1005222358.

Almost surely, 2^368916538225 is an apocalyptic number.

368916538225 is the 607385-th square number.

368916538225 is the 303693-rd centered octagonal number.

It is an amenable number.

368916538225 is a deficient number, since it is larger than the sum of its proper divisors (91179847706).

368916538225 is an frugal number, since it uses more digits than its factorization.

368916538225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 368916538225 in words is "three hundred sixty-eight billion, nine hundred sixteen million, five hundred thirty-eight thousand, two hundred twenty-five".