18450641567241 has 45 divisors (see below), whose sum is σ = 29846130820869. Its totient is φ = 11353931694144.

The previous prime is 18450641567227. The next prime is 18450641567257. The reversal of 18450641567241 is 14276514605481.

The square root of 18450641567241 is 4295421.

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

18450641567241 is a `hidden beast` number, since 1 + 8 + 4 + 50 + 6 + 4 + 1 + 567 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 695851641 + 18449945715600 = 26379^2 + 4295340^2 .

It is not a de Polignac number, because 18450641567241 - 2²¹ = 18450639470089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18450641567441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 502545901 + ... + 502582613.

Almost surely, 2^{18450641567241} is an apocalyptic number.

18450641567241 is the 4295421-st square number.

18450641567241 is the 2147711-st centered octagonal number.

It is an amenable number.

18450641567241 is a deficient number, since it is larger than the sum of its proper divisors (11395489253628).

18450641567241 is an frugal number, since it uses more digits than its factorization.

18450641567241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73464 (or 36729 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 18450641567241 in words is "eighteen trillion, four hundred fifty billion, six hundred forty-one million, five hundred sixty-seven thousand, two hundred forty-one".