218020694000 has 320 divisors, whose sum is σ = 555045903360. Its totient is φ = 82759040000.

The previous prime is 218020693997. The next prime is 218020694027. The reversal of 218020694000 is 496020812.

218020694000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444033755 + ... + 444034245.

It is an arithmetic number, because the mean of its divisors is an integer number (1734518448).

Almost surely, 2^218020694000 is an apocalyptic number.

218020694000 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 218020694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277522951680).

218020694000 is an abundant number, since it is smaller than the sum of its proper divisors (337025209360).

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

218020694000 is a wasteful number, since it uses less digits than its factorization.

218020694000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 218020694000 in words is "two hundred eighteen billion, twenty million, six hundred ninety-four thousand".