368986998249 has 9 divisors (see below), whose sum is σ = 532983851959. Its totient is φ = 245990117280.

The previous prime is 368986998239. The next prime is 368986998253. The reversal of 368986998249 is 942899689863.

It is a happy number.

The square root of 368986998249 is 607443.

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

368986998249 is a `hidden beast` number, since 368 + 9 + 8 + 6 + 9 + 9 + 8 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67058727849 + 301928270400 = 258957^2 + 549480^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 368986998249 - 2⁵ = 368986998217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (368986998209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1721089 + ... + 1923569.

Almost surely, 2^368986998249 is an apocalyptic number.

368986998249 is the 607443-rd square number.

368986998249 is the 303722-nd centered octagonal number.

It is an amenable number.

368986998249 is a deficient number, since it is larger than the sum of its proper divisors (163996853710).

368986998249 is an frugal number, since it uses more digits than its factorization.

368986998249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404968 (or 202484 counting only the distinct ones).

The product of its digits is 2902376448, while the sum is 81.

Multiplying 368986998249 by its sum of digits (81), we get a square (29887946858169 = 5466987²).

The spelling of 368986998249 in words is "three hundred sixty-eight billion, nine hundred eighty-six million, nine hundred ninety-eight thousand, two hundred forty-nine".