218432272101150 has 96 divisors (see below), whose sum is σ = 551967999108480. Its totient is φ = 57145953354880.

The previous prime is 218432272101149. The next prime is 218432272101187. The reversal of 218432272101150 is 51101272234812.

It is a junction number, because it is equal to n+sod(n) for n = 218432272101099 and 218432272101108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125725081 + ... + 127450619.

It is an arithmetic number, because the mean of its divisors is an integer number (5749666657380).

Almost surely, 2^{218432272101150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218432272101150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275983999554240).

218432272101150 is an abundant number, since it is smaller than the sum of its proper divisors (333535727007330).

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

218432272101150 is a wasteful number, since it uses less digits than its factorization.

218432272101150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741530 (or 1741525 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 218432272101150 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred seventy-two million, one hundred one thousand, one hundred fifty".