218854482000 has 1920 divisors, whose sum is σ = 965355356160. Its totient is φ = 42094080000.

The previous prime is 218854481999. The next prime is 218854482001. The reversal of 218854482000 is 284458812.

It is an interprime number because it is at equal distance from previous prime (218854481999) and next prime (218854482001).

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 (218854482001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3709397971 + ... + 3709398029.

It is an arithmetic number, because the mean of its divisors is an integer number (502789248).

Almost surely, 2^218854482000 is an apocalyptic number.

218854482000 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 218854482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482677678080).

218854482000 is an abundant number, since it is smaller than the sum of its proper divisors (746500874160).

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

218854482000 is a wasteful number, since it uses less digits than its factorization.

218854482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 218854482000 in words is "two hundred eighteen billion, eight hundred fifty-four million, four hundred eighty-two thousand".