218350103022144 has 560 divisors, whose sum is σ = 698415014119680. Its totient is φ = 67228754181120.

The previous prime is 218350103022133. The next prime is 218350103022221. The reversal of 218350103022144 is 441220301053812.

218350103022144 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 501 + 0 + 3 + 0 + 2 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 218350103022099 and 218350103022108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2384443879 + ... + 2384535449.

Almost surely, 2^{218350103022144} is an apocalyptic number.

218350103022144 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 218350103022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349207507059840).

218350103022144 is an abundant number, since it is smaller than the sum of its proper divisors (480064911097536).

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

218350103022144 is a wasteful number, since it uses less digits than its factorization.

218350103022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92220 (or 92201 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 218350103022144 its reverse (441220301053812), we get a palindrome (659570404075956).

The spelling of 218350103022144 in words is "two hundred eighteen trillion, three hundred fifty billion, one hundred three million, twenty-two thousand, one hundred forty-four".