242154604538181 has 24 divisors (see below), whose sum is σ = 349819694847480. Its totient is φ = 161417563572096.

The previous prime is 242154604538179. The next prime is 242154604538183. The reversal of 242154604538181 is 181835406451242.

242154604538181 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 5 + 4 + 6 + 0 + 453 + 8 + 181 = 666.

It is an interprime number because it is at equal distance from previous prime (242154604538179) and next prime (242154604538183).

It can be written as a sum of positive squares in 4 ways, for example, as 36445864035681 + 205708740502500 = 6037041^2 + 14342550^2 .

It is not a de Polignac number, because 242154604538181 - 2¹ = 242154604538179 is a prime.

It is a super-2 number, since 2×242154604538181² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242154604538183) 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 23 ways as a sum of consecutive naturals, for example, 3591219375 + ... + 3591286803.

It is an arithmetic number, because the mean of its divisors is an integer number (14575820618645).

Almost surely, 2^{242154604538181} is an apocalyptic number.

It is an amenable number.

242154604538181 is a deficient number, since it is larger than the sum of its proper divisors (107665090309299).

242154604538181 is a wasteful number, since it uses less digits than its factorization.

242154604538181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108085 (or 108082 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 242154604538181 in words is "two hundred forty-two trillion, one hundred fifty-four billion, six hundred four million, five hundred thirty-eight thousand, one hundred eighty-one".