218956038 has 128 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 55935360.

The previous prime is 218956037. The next prime is 218956051. The reversal of 218956038 is 830659812.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218956037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311031 + ... + 1311197.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^218956038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218956038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

218956038 is an abundant number, since it is smaller than the sum of its proper divisors (338427642).

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

218956038 is a wasteful number, since it uses less digits than its factorization.

218956038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 218956038 is about 14797.1631740682. The cubic root of 218956038 is about 602.7246803545.

The spelling of 218956038 in words is "two hundred eighteen million, nine hundred fifty-six thousand, thirty-eight".