218412001112760 has 768 divisors, whose sum is σ = 895245782296320. Its totient is φ = 44944035840000.

The previous prime is 218412001112677. The next prime is 218412001112791. The reversal of 218412001112760 is 67211100214812.

218412001112760 is a `hidden beast` number, since 2 + 184 + 1 + 200 + 1 + 1 + 1 + 276 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4433746530 + ... + 4433795790.

It is an arithmetic number, because the mean of its divisors is an integer number (1165684612365).

Almost surely, 2^{218412001112760} is an apocalyptic number.

218412001112760 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 218412001112760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447622891148160).

218412001112760 is an abundant number, since it is smaller than the sum of its proper divisors (676833781183560).

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

218412001112760 is a wasteful number, since it uses less digits than its factorization.

218412001112760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52640 (or 52633 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 218412001112760 in words is "two hundred eighteen trillion, four hundred twelve billion, one million, one hundred twelve thousand, seven hundred sixty".