218160000216431 has 64 divisors (see below), whose sum is σ = 287297311795200. Its totient is φ = 160829231961600.

The previous prime is 218160000216427. The next prime is 218160000216541. The reversal of 218160000216431 is 134612000061812.

It is a cyclic number.

It is not a de Polignac number, because 218160000216431 - 2² = 218160000216427 is a prime.

It is a super-2 number, since 2×218160000216431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218160000216391 and 218160000216400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218160000216131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167342926 + ... + 1167529796.

It is an arithmetic number, because the mean of its divisors is an integer number (4489020496800).

Almost surely, 2^{218160000216431} is an apocalyptic number.

218160000216431 is a deficient number, since it is larger than the sum of its proper divisors (69137311578769).

218160000216431 is a wasteful number, since it uses less digits than its factorization.

218160000216431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198040.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 218160000216431 in words is "two hundred eighteen trillion, one hundred sixty billion, two hundred sixteen thousand, four hundred thirty-one".