218160000216432 has 160 divisors (see below), whose sum is σ = 633582001728000. Its totient is φ = 71863628474880.

The previous prime is 218160000216427. The next prime is 218160000216541. The reversal of 218160000216432 is 234612000061812.

It is a happy number.

218160000216432 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 6 + 0 + 0 + 0 + 0 + 2 + 1 + 643 + 2 = 666.

It is a super-2 number, since 2×218160000216432² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68848819 + ... + 71947757.

It is an arithmetic number, because the mean of its divisors is an integer number (3959887510800).

Almost surely, 2^{218160000216432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218160000216432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316791000864000).

218160000216432 is an abundant number, since it is smaller than the sum of its proper divisors (415422001511568).

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

218160000216432 is a wasteful number, since it uses less digits than its factorization.

218160000216432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100876 (or 3100864 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 218160000216432 in words is "two hundred eighteen trillion, one hundred sixty billion, two hundred sixteen thousand, four hundred thirty-two".