218161353984 has 288 divisors, whose sum is σ = 673982346240. Its totient is φ = 61359783936.

The previous prime is 218161353983. The next prime is 218161354009. The reversal of 218161353984 is 489353161812.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218161353983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154833472 + ... + 154834880.

It is an arithmetic number, because the mean of its divisors is an integer number (2340216480).

Almost surely, 2^218161353984 is an apocalyptic number.

218161353984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218161353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336991173120).

218161353984 is an abundant number, since it is smaller than the sum of its proper divisors (455820992256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218161353984 is a wasteful number, since it uses less digits than its factorization.

218161353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1851 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 218161353984 in words is "two hundred eighteen billion, one hundred sixty-one million, three hundred fifty-three thousand, nine hundred eighty-four".