218512944 has 240 divisors, whose sum is σ = 705267360. Its totient is φ = 64696320.

The previous prime is 218512933. The next prime is 218512961. The reversal of 218512944 is 449215812.

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 = 218512899 and 218512908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993292 + ... + 2993364.

It is an arithmetic number, because the mean of its divisors is an integer number (2938614).

Almost surely, 2^218512944 is an apocalyptic number.

218512944 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 218512944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352633680).

218512944 is an abundant number, since it is smaller than the sum of its proper divisors (486754416).

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

218512944 is a wasteful number, since it uses less digits than its factorization.

218512944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 218512944 is about 14782.1833299415. The cubic root of 218512944 is about 602.3178345419.

It can be divided in two parts, 2185 and 12944, that added together give a square (15129 = 123²).

The spelling of 218512944 in words is "two hundred eighteen million, five hundred twelve thousand, nine hundred forty-four".