368909249641 has 9 divisors (see below), whose sum is σ = 371233586199. Its totient is φ = 366599387304.

The previous prime is 368909249629. The next prime is 368909249647. The reversal of 368909249641 is 146942909863.

The square root of 368909249641 is 607379.

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., 9873403225 + 359035846416 = 99365^2 + 599196^2 .

It is not a de Polignac number, because 368909249641 - 2⁵ = 368909249609 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 368909249641.

It is not an unprimeable number, because it can be changed into a prime (368909249647) 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, 101430475 + ... + 101434111.

Almost surely, 2^368909249641 is an apocalyptic number.

368909249641 is the 607379-th square number.

368909249641 is the 303690-th centered octagonal number.

It is an amenable number.

368909249641 is a deficient number, since it is larger than the sum of its proper divisors (2324336558).

368909249641 is an frugal number, since it uses more digits than its factorization.

368909249641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 368909249641 in words is "three hundred sixty-eight billion, nine hundred nine million, two hundred forty-nine thousand, six hundred forty-one".