218318463095040 has 2016 divisors, whose sum is σ = 978975396870912. Its totient is φ = 45297377280000.

The previous prime is 218318463095027. The next prime is 218318463095059. The reversal of 218318463095040 is 40590364813812.

It is a happy number.

218318463095040 is a `hidden beast` number, since 2 + 1 + 83 + 18 + 46 + 3 + 0 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 58989045190 + ... + 58989048890.

It is an arithmetic number, because the mean of its divisors is an integer number (485602875432).

Almost surely, 2^{218318463095040} is an apocalyptic number.

218318463095040 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 218318463095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489487698435456).

218318463095040 is an abundant number, since it is smaller than the sum of its proper divisors (760656933775872).

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

218318463095040 is an equidigital number, since it uses as much as digits as its factorization.

218318463095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 218318463095040 in words is "two hundred eighteen trillion, three hundred eighteen billion, four hundred sixty-three million, ninety-five thousand, forty".