18300948961 has 3 divisors (see below), whose sum is σ = 18301084243. Its totient is φ = 18300813680.

The previous prime is 18300948947. The next prime is 18300948997. The reversal of 18300948961 is 16984900381.

The square root of 18300948961 is 135281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 15001595361 + 3299353600 = 122481^2 + 57440^2 .

It is not a de Polignac number, because 18300948961 - 2¹⁷ = 18300817889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18300948931) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 67641 + ... + 202921.

Almost surely, 2^18300948961 is an apocalyptic number.

18300948961 is the 135281-st square number.

18300948961 is the 67641-st centered octagonal number.

It is an amenable number.

18300948961 is a deficient number, since it is larger than the sum of its proper divisors (135282).

18300948961 is an frugal number, since it uses more digits than its factorization.

18300948961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270562 (or 135281 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 18300948961 by its sum of digits (49), we get a square (896746499089 = 946967²).

The spelling of 18300948961 in words is "eighteen billion, three hundred million, nine hundred forty-eight thousand, nine hundred sixty-one".