218162115072 has 320 divisors, whose sum is σ = 707523822720. Its totient is φ = 65824358400.

The previous prime is 218162115019. The next prime is 218162115089. The reversal of 218162115072 is 270511261812.

It is a happy number.

218162115072 is a `hidden beast` number, since 2 + 1 + 81 + 62 + 11 + 507 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36644448 + ... + 36650400.

It is an arithmetic number, because the mean of its divisors is an integer number (2211011946).

Almost surely, 2^218162115072 is an apocalyptic number.

218162115072 is a gapful number since it is divisible by the number (22) 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 218162115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353761911360).

218162115072 is an abundant number, since it is smaller than the sum of its proper divisors (489361707648).

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

218162115072 is a wasteful number, since it uses less digits than its factorization.

218162115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 218162115072 its reverse (270511261812), we get a palindrome (488673376884).

The spelling of 218162115072 in words is "two hundred eighteen billion, one hundred sixty-two million, one hundred fifteen thousand, seventy-two".