218385678000 has 320 divisors, whose sum is σ = 807326327808. Its totient is φ = 49751193600.

The previous prime is 218385677981. The next prime is 218385678011. The reversal of 218385678000 is 876583812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12885532 + ... + 12902468.

Almost surely, 2^218385678000 is an apocalyptic number.

218385678000 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 218385678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403663163904).

218385678000 is an abundant number, since it is smaller than the sum of its proper divisors (588940649808).

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

218385678000 is a wasteful number, since it uses less digits than its factorization.

218385678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17277 (or 17261 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 218385678000 in words is "two hundred eighteen billion, three hundred eighty-five million, six hundred seventy-eight thousand".