218369952 has 144 divisors (see below), whose sum is σ = 660623040. Its totient is φ = 70174080.

The previous prime is 218369941. The next prime is 218369993. The reversal of 218369952 is 259963812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 218369898 and 218369907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830173 + ... + 830435.

It is an arithmetic number, because the mean of its divisors is an integer number (4587660).

Almost surely, 2^218369952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218369952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330311520).

218369952 is an abundant number, since it is smaller than the sum of its proper divisors (442253088).

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

218369952 is a wasteful number, since it uses less digits than its factorization.

218369952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 299 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 218369952 is about 14777.3459051347. The cubic root of 218369952 is about 602.1864229136.

The spelling of 218369952 in words is "two hundred eighteen million, three hundred sixty-nine thousand, nine hundred fifty-two".