218198304116352 has 512 divisors, whose sum is σ = 763547601600000. Its totient is φ = 60020096532480.

The previous prime is 218198304116183. The next prime is 218198304116357. The reversal of 218198304116352 is 253611403891812.

218198304116352 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 98 + 30 + 411 + 63 + 52 = 666.

It is a super-2 number, since 2×218198304116352² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (218198304116357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244401652 + ... + 245292812.

It is an arithmetic number, because the mean of its divisors is an integer number (1491303909375).

Almost surely, 2^{218198304116352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218198304116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381773800800000).

218198304116352 is an abundant number, since it is smaller than the sum of its proper divisors (545349297483648).

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

218198304116352 is a wasteful number, since it uses less digits than its factorization.

218198304116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891569 (or 891551 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 218198304116352 in words is "two hundred eighteen trillion, one hundred ninety-eight billion, three hundred four million, one hundred sixteen thousand, three hundred fifty-two".