18823267739241 has 81 divisors (see below), whose sum is σ = 32424881480823. Its totient is φ = 10491725280960.

The previous prime is 18823267739219. The next prime is 18823267739257. The reversal of 18823267739241 is 14293776232881.

It is a happy number.

The square root of 18823267739241 is 4338579.

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

18823267739241 is a `hidden beast` number, since 1 + 8 + 8 + 232 + 6 + 7 + 7 + 392 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 907010521641 + 17916257217600 = 952371^2 + 4232760^2 .

It is not a de Polignac number, because 18823267739241 - 2¹⁵ = 18823267706473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18823267739641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3735514000 + ... + 3735519038.

Almost surely, 2^{18823267739241} is an apocalyptic number.

18823267739241 is the 4338579-th square number.

18823267739241 is the 2169290-th centered octagonal number.

It is an amenable number.

18823267739241 is a deficient number, since it is larger than the sum of its proper divisors (13601613741582).

18823267739241 is an frugal number, since it uses more digits than its factorization.

18823267739241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 5090 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 18823267739241 in words is "eighteen trillion, eight hundred twenty-three billion, two hundred sixty-seven million, seven hundred thirty-nine thousand, two hundred forty-one".