218089818441600 has 1536 divisors, whose sum is σ = 892413739008000. Its totient is φ = 45719197286400.

The previous prime is 218089818441587. The next prime is 218089818441641. The reversal of 218089818441600 is 6144818980812.

It is a super-2 number, since 2×218089818441600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5222561521 + ... + 5222603279.

It is an arithmetic number, because the mean of its divisors is an integer number (580998528000).

Almost surely, 2^{218089818441600} is an apocalyptic number.

218089818441600 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 218089818441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446206869504000).

218089818441600 is an abundant number, since it is smaller than the sum of its proper divisors (674323920566400).

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

218089818441600 is a wasteful number, since it uses less digits than its factorization.

218089818441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41956 (or 41939 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 60.

The spelling of 218089818441600 in words is "two hundred eighteen trillion, eighty-nine billion, eight hundred eighteen million, four hundred forty-one thousand, six hundred".