218081372544 has 1152 divisors, whose sum is σ = 845671881600. Its totient is φ = 55431806976.

The previous prime is 218081372519. The next prime is 218081372567. The reversal of 218081372544 is 445273180812.

218081372544 is a `hidden beast` number, since 21 + 8 + 0 + 8 + 13 + 72 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×218081372544³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218081372544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 492282787 + ... + 492283229.

It is an arithmetic number, because the mean of its divisors is an integer number (734090175).

Almost surely, 2^218081372544 is an apocalyptic number.

218081372544 is a gapful number since it is divisible by the number (24) 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 218081372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422835940800).

218081372544 is an abundant number, since it is smaller than the sum of its proper divisors (627590509056).

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

218081372544 is a wasteful number, since it uses less digits than its factorization.

218081372544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 218081372544 in words is "two hundred eighteen billion, eighty-one million, three hundred seventy-two thousand, five hundred forty-four".