218342953061376 has 1408 divisors, whose sum is σ = 737062997852160. Its totient is φ = 56522421043200.

The previous prime is 218342953061339. The next prime is 218342953061377. The reversal of 218342953061376 is 673160359243812.

It is a tau number, because it is divible by the number of its divisors (1408).

It is not an unprimeable number, because it can be changed into a prime (218342953061377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42257197545 + ... + 42257202711.

It is a 2-persistent number, because it is pandigital, and so is 2⋅218342953061376 = 436685906122752, but 3⋅218342953061376 = 655028859184128 is not.

Almost surely, 2^{218342953061376} is an apocalyptic number.

218342953061376 is a gapful number since it is divisible by the number (26) 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 218342953061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368531498926080).

218342953061376 is an abundant number, since it is smaller than the sum of its proper divisors (518720044790784).

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

218342953061376 is a wasteful number, since it uses less digits than its factorization.

218342953061376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 218342953061376 in words is "two hundred eighteen trillion, three hundred forty-two billion, nine hundred fifty-three million, sixty-one thousand, three hundred seventy-six".