3645071368849 has 9 divisors (see below), whose sum is σ = 3810489131323. Its totient is φ = 3486548002432.

The previous prime is 3645071368831. The next prime is 3645071368903. The reversal of 3645071368849 is 9488631705463.

The square root of 3645071368849 is 1909207.

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., 2232206319249 + 1412865049600 = 1494057^2 + 1188640^2 .

It is not a de Polignac number, because 3645071368849 - 2¹³ = 3645071360657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3645471368849) 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, 43870257 + ... + 43953265.

Almost surely, 2^{3645071368849} is an apocalyptic number.

3645071368849 is the 1909207-th square number.

3645071368849 is the 954604-th centered octagonal number.

It is an amenable number.

3645071368849 is a deficient number, since it is larger than the sum of its proper divisors (165417762474).

3645071368849 is an frugal number, since it uses more digits than its factorization.

3645071368849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166064 (or 83032 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

Multiplying 3645071368849 by its sum of digits (64), we get a square (233284567606336 = 15273656²).

The spelling of 3645071368849 in words is "three trillion, six hundred forty-five billion, seventy-one million, three hundred sixty-eight thousand, eight hundred forty-nine".