220014643134000 has 640 divisors, whose sum is σ = 835965314795520. Its totient is φ = 49078672896000.

The previous prime is 220014643133921. The next prime is 220014643134001. The reversal of 220014643134000 is 431346410022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (220014643134001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271581541 + ... + 272390459.

It is an arithmetic number, because the mean of its divisors is an integer number (1306195804368).

Almost surely, 2^{220014643134000} is an apocalyptic number.

220014643134000 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 220014643134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417982657397760).

220014643134000 is an abundant number, since it is smaller than the sum of its proper divisors (615950671661520).

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

220014643134000 is a wasteful number, since it uses less digits than its factorization.

220014643134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809286 (or 809270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 220014643134000 its reverse (431346410022), we get a palindrome (220445989544022).

The spelling of 220014643134000 in words is "two hundred twenty trillion, fourteen billion, six hundred forty-three million, one hundred thirty-four thousand".