218564942948352 has 2304 divisors, whose sum is σ = 907368562114560. Its totient is φ = 50709174681600.

The previous prime is 218564942948267. The next prime is 218564942948381. The reversal of 218564942948352 is 253849249465812.

It is a happy number.

218564942948352 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 6 + 4 + 94 + 2 + 9 + 483 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 15443004508 + ... + 15443018660.

It is an arithmetic number, because the mean of its divisors is an integer number (393823160640).

Almost surely, 2^{218564942948352} is an apocalyptic number.

218564942948352 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 218564942948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453684281057280).

218564942948352 is an abundant number, since it is smaller than the sum of its proper divisors (688803619166208).

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

218564942948352 is a wasteful number, since it uses less digits than its factorization.

218564942948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252 (or 14220 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 218564942948352 in words is "two hundred eighteen trillion, five hundred sixty-four billion, nine hundred forty-two million, nine hundred forty-eight thousand, three hundred fifty-two".