218219058134000 has 1920 divisors, whose sum is σ = 731317017000960. Its totient is φ = 62052480000000.

The previous prime is 218219058133991. The next prime is 218219058134071. The reversal of 218219058134000 is 431850912812.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 76541232575 + ... + 76541235425.

It is an arithmetic number, because the mean of its divisors is an integer number (380894279688).

Almost surely, 2^{218219058134000} is an apocalyptic number.

218219058134000 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 218219058134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365658508500480).

218219058134000 is an abundant number, since it is smaller than the sum of its proper divisors (513097958866960).

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

218219058134000 is a wasteful number, since it uses less digits than its factorization.

218219058134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 218219058134000 in words is "two hundred eighteen trillion, two hundred nineteen billion, fifty-eight million, one hundred thirty-four thousand".