220453214400000 has 720 divisors, whose sum is σ = 795676036755600. Its totient is φ = 58756239360000.

The previous prime is 220453214399987. The next prime is 220453214400017. The reversal of 220453214400000 is 4412354022.

220453214400000 is a `hidden beast` number, since 2 + 2 + 0 + 45 + 3 + 214 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42321597396 + ... + 42321602604.

It is an arithmetic number, because the mean of its divisors is an integer number (1105105606605).

Almost surely, 2^{220453214400000} is an apocalyptic number.

220453214400000 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 220453214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397838018377800).

220453214400000 is an abundant number, since it is smaller than the sum of its proper divisors (575222822355600).

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

220453214400000 is an frugal number, since it uses more digits than its factorization.

220453214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 220453214400000 its reverse (4412354022), we get a palindrome (220457626754022).

The spelling of 220453214400000 in words is "two hundred twenty trillion, four hundred fifty-three billion, two hundred fourteen million, four hundred thousand".