218207148160 has 128 divisors (see below), whose sum is σ = 541784505600. Its totient is φ = 83977199616.

The previous prime is 218207148119. The next prime is 218207148161. The reversal of 218207148160 is 61841702812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×218207148160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (218207148161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713244 + ... + 1836196.

It is an arithmetic number, because the mean of its divisors is an integer number (4232691450).

Almost surely, 2^218207148160 is an apocalyptic number.

218207148160 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 218207148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270892252800).

218207148160 is an abundant number, since it is smaller than the sum of its proper divisors (323577357440).

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

218207148160 is a wasteful number, since it uses less digits than its factorization.

218207148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123078 (or 123066 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 218207148160 in words is "two hundred eighteen billion, two hundred seven million, one hundred forty-eight thousand, one hundred sixty".