218548785312 has 480 divisors, whose sum is σ = 794882531520. Its totient is φ = 57913159680.

The previous prime is 218548785307. The next prime is 218548785341. The reversal of 218548785312 is 213587845812.

It is a happy number.

218548785312 is a `hidden beast` number, since 2 + 1 + 8 + 548 + 7 + 85 + 3 + 12 = 666.

It is a super-2 number, since 2×218548785312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7026948 + ... + 7057980.

It is an arithmetic number, because the mean of its divisors is an integer number (1656005274).

Almost surely, 2^218548785312 is an apocalyptic number.

218548785312 is a gapful number since it is divisible by the number (22) 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 218548785312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397441265760).

218548785312 is an abundant number, since it is smaller than the sum of its proper divisors (576333746208).

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

218548785312 is a wasteful number, since it uses less digits than its factorization.

218548785312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31098 (or 31081 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 218548785312 in words is "two hundred eighteen billion, five hundred forty-eight million, seven hundred eighty-five thousand, three hundred twelve".