218659299012 has 768 divisors, whose sum is σ = 774144000000. Its totient is φ = 51684272640.

The previous prime is 218659298993. The next prime is 218659299013. The reversal of 218659299012 is 210992956812.

It is a super-2 number, since 2×218659299012² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 218659299012.

It is not an unprimeable number, because it can be changed into a prime (218659299013) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 438194739 + ... + 438195237.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000000).

Almost surely, 2^218659299012 is an apocalyptic number.

218659299012 is a gapful number since it is divisible by the number (22) 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 218659299012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072000000).

218659299012 is an abundant number, since it is smaller than the sum of its proper divisors (555484700988).

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

218659299012 is a wasteful number, since it uses less digits than its factorization.

218659299012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 218659299012 in words is "two hundred eighteen billion, six hundred fifty-nine million, two hundred ninety-nine thousand, twelve".