218410994961 has 6 divisors (see below), whose sum is σ = 315482548290. Its totient is φ = 145607329968.

The previous prime is 218410994927. The next prime is 218410994983. The reversal of 218410994961 is 169499014812.

218410994961 is a `hidden beast` number, since 21 + 8 + 41 + 0 + 99 + 496 + 1 = 666.

218410994961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202292153361 + 16118841600 = 449769^2 + 126960^2 .

It is not a de Polignac number, because 218410994961 - 2⁶ = 218410994897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218410994898 and 218410994907.

It is not an unprimeable number, because it can be changed into a prime (218410924961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12133944156 + ... + 12133944173.

It is an arithmetic number, because the mean of its divisors is an integer number (52580424715).

Almost surely, 2^218410994961 is an apocalyptic number.

It is an amenable number.

218410994961 is a deficient number, since it is larger than the sum of its proper divisors (97071553329).

218410994961 is a wasteful number, since it uses less digits than its factorization.

218410994961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267888335 (or 24267888332 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 218410994961 in words is "two hundred eighteen billion, four hundred ten million, nine hundred ninety-four thousand, nine hundred sixty-one".