218289537588096 has 896 divisors, whose sum is σ = 733222266416640. Its totient is φ = 64199626444800.

The previous prime is 218289537588091. The next prime is 218289537588191. The reversal of 218289537588096 is 690885735982812.

218289537588096 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 89 + 5 + 375 + 8 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218289537588091) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 71173633155 + ... + 71173636221.

It is an arithmetic number, because the mean of its divisors is an integer number (818328422340).

Almost surely, 2^{218289537588096} is an apocalyptic number.

218289537588096 is a gapful number since it is divisible by the number (26) 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 218289537588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366611133208320).

218289537588096 is an abundant number, since it is smaller than the sum of its proper divisors (514932728828544).

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

218289537588096 is a wasteful number, since it uses less digits than its factorization.

218289537588096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 218289537588096 in words is "two hundred eighteen trillion, two hundred eighty-nine billion, five hundred thirty-seven million, five hundred eighty-eight thousand, ninety-six".