218672340048500 has 384 divisors, whose sum is σ = 529731003005568. Its totient is φ = 78343372800000.

The previous prime is 218672340048479. The next prime is 218672340048523. The reversal of 218672340048500 is 5840043276812.

It can be written as a sum of positive squares in 64 ways, for example, as 38627791195876 + 180044548852624 = 6215126^2 + 13418068^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45547246100 + ... + 45547250900.

It is an arithmetic number, because the mean of its divisors is an integer number (1379507820327).

Almost surely, 2^{218672340048500} is an apocalyptic number.

218672340048500 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 218672340048500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264865501502784).

218672340048500 is an abundant number, since it is smaller than the sum of its proper divisors (311058662957068).

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

218672340048500 is a wasteful number, since it uses less digits than its factorization.

218672340048500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 218672340048500 in words is "two hundred eighteen trillion, six hundred seventy-two billion, three hundred forty million, forty-eight thousand, five hundred".