366820401649 has 9 divisors (see below), whose sum is σ = 397216416513. Its totient is φ = 338596179792.

The previous prime is 366820401587. The next prime is 366820401653. The reversal of 366820401649 is 946104028663.

The square root of 366820401649 is 605657.

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

It can be written as a sum of positive squares in 4 ways, for example, as 236764962225 + 130055439424 = 486585^2 + 360632^2 .

It is not a de Polignac number, because 366820401649 - 2¹¹ = 366820399601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (366820401449) 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, 7850247 + ... + 7896835.

Almost surely, 2^366820401649 is an apocalyptic number.

366820401649 is the 605657-th square number.

366820401649 is the 302829-th centered octagonal number.

It is an amenable number.

366820401649 is a deficient number, since it is larger than the sum of its proper divisors (30396014864).

366820401649 is an frugal number, since it uses more digits than its factorization.

366820401649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93204 (or 46602 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 366820401649 by its sum of digits (49), we get a square (17974199680801 = 4239599²).

The spelling of 366820401649 in words is "three hundred sixty-six billion, eight hundred twenty million, four hundred one thousand, six hundred forty-nine".