218998080000 has 2000 divisors, whose sum is σ = 1002321454464. Its totient is φ = 46448640000.

The previous prime is 218998079987. The next prime is 218998080047. The reversal of 218998080000 is 80899812.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3084479965 + ... + 3084480035.

Almost surely, 2^218998080000 is an apocalyptic number.

218998080000 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 218998080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501160727232).

218998080000 is an abundant number, since it is smaller than the sum of its proper divisors (783323374464).

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

218998080000 is an frugal number, since it uses more digits than its factorization.

218998080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 218998080000 in words is "two hundred eighteen billion, nine hundred ninety-eight million, eighty thousand".