218001531734019 has 48 divisors (see below), whose sum is σ = 346926233931264. Its totient is φ = 130811657990400.

The previous prime is 218001531733981. The next prime is 218001531734023. The reversal of 218001531734019 is 910437135100812.

218001531734019 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 0 + 1 + 531 + 73 + 40 + 1 + 9 = 666.

It is not a de Polignac number, because 218001531734019 - 2¹³ = 218001531725827 is a prime.

It is a super-2 number, since 2×218001531734019² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218001531034019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45875794 + ... + 50404280.

It is an arithmetic number, because the mean of its divisors is an integer number (7227629873568).

Almost surely, 2^{218001531734019} is an apocalyptic number.

218001531734019 is a deficient number, since it is larger than the sum of its proper divisors (128924702197245).

218001531734019 is a wasteful number, since it uses less digits than its factorization.

218001531734019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533328 (or 4533325 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 218001531734019 in words is "two hundred eighteen trillion, one billion, five hundred thirty-one million, seven hundred thirty-four thousand, nineteen".