218740446000 has 320 divisors, whose sum is σ = 810602582400. Its totient is φ = 56318976000.

The previous prime is 218740445993. The next prime is 218740446013. The reversal of 218740446000 is 644047812.

218740446000 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 4 + 0 + 44 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1496160 + ... + 1635840.

It is an arithmetic number, because the mean of its divisors is an integer number (2533133070).

Almost surely, 2^218740446000 is an apocalyptic number.

218740446000 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 218740446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405301291200).

218740446000 is an abundant number, since it is smaller than the sum of its proper divisors (591862136400).

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

218740446000 is a wasteful number, since it uses less digits than its factorization.

218740446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139742 (or 139720 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 218740446000 in words is "two hundred eighteen billion, seven hundred forty million, four hundred forty-six thousand".