218168584140 has 384 divisors, whose sum is σ = 724717808640. Its totient is φ = 48561057792.

The previous prime is 218168584097. The next prime is 218168584147. The reversal of 218168584140 is 41485861812.

It is a super-2 number, since 2×218168584140² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218168584140.

It is not an unprimeable number, because it can be changed into a prime (218168584147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29058267 + ... + 29065773.

It is an arithmetic number, because the mean of its divisors is an integer number (1887285960).

Almost surely, 2^218168584140 is an apocalyptic number.

218168584140 is a gapful number since it is divisible by the number (20) 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 218168584140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362358904320).

218168584140 is an abundant number, since it is smaller than the sum of its proper divisors (506549224500).

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

218168584140 is a wasteful number, since it uses less digits than its factorization.

218168584140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 218168584140 in words is "two hundred eighteen billion, one hundred sixty-eight million, five hundred eighty-four thousand, one hundred forty".