218036491200 has 2016 divisors, whose sum is σ = 967678064640. Its totient is φ = 47278080000.

The previous prime is 218036491163. The next prime is 218036491229. The reversal of 218036491200 is 2194630812.

218036491200 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 3 + 649 + 1 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×218036491200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5317963180 + ... + 5317963220.

It is an arithmetic number, because the mean of its divisors is an integer number (479999040).

Almost surely, 2^218036491200 is an apocalyptic number.

218036491200 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 218036491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483839032320).

218036491200 is an abundant number, since it is smaller than the sum of its proper divisors (749641573440).

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

218036491200 is a wasteful number, since it uses less digits than its factorization.

218036491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 218036491200 in words is "two hundred eighteen billion, thirty-six million, four hundred ninety-one thousand, two hundred".