8211623241649 has 15 divisors (see below), whose sum is σ = 8586462605227. Its totient is φ = 7853146154128.

The previous prime is 8211623241587. The next prime is 8211623241667. The reversal of 8211623241649 is 9461423261128.

The square root of 8211623241649 is 2865593.

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., 667987463025 + 7543635778624 = 817305^2 + 2746568^2 .

It is not a de Polignac number, because 8211623241649 - 2¹⁷ = 8211623110577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8211623241049) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1515895989 + ... + 1515901405.

Almost surely, 2^{8211623241649} is an apocalyptic number.

8211623241649 is the 2865593-rd square number.

8211623241649 is the 1432797-th centered octagonal number.

It is an amenable number.

8211623241649 is a deficient number, since it is larger than the sum of its proper divisors (374839363578).

8211623241649 is an frugal number, since it uses more digits than its factorization.

8211623241649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 5440 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

Multiplying 8211623241649 by its sum of digits (49), we get a square (402369538840801 = 20059151²).

The spelling of 8211623241649 in words is "eight trillion, two hundred eleven billion, six hundred twenty-three million, two hundred forty-one thousand, six hundred forty-nine".