218978146380 has 192 divisors, whose sum is σ = 708347566080. Its totient is φ = 49509605376.

The previous prime is 218978146369. The next prime is 218978146403. The reversal of 218978146380 is 83641879812.

218978146380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 218978146380.

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, 29615964 + ... + 29623356.

It is an arithmetic number, because the mean of its divisors is an integer number (3689310240).

Almost surely, 2^218978146380 is an apocalyptic number.

218978146380 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 218978146380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354173783040).

218978146380 is an abundant number, since it is smaller than the sum of its proper divisors (489369419700).

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

218978146380 is a wasteful number, since it uses less digits than its factorization.

218978146380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 218978146380 in words is "two hundred eighteen billion, nine hundred seventy-eight million, one hundred forty-six thousand, three hundred eighty".