220450347360 has 192 divisors, whose sum is σ = 771909082560. Its totient is φ = 58761400320.

The previous prime is 220450347343. The next prime is 220450347361. The reversal of 220450347360 is 63743054022.

220450347360 is a `hidden beast` number, since 2 + 20 + 4 + 503 + 4 + 73 + 60 = 666.

It is a super-2 number, since 2×220450347360² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (220450347361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11364870 + ... + 11384250.

It is an arithmetic number, because the mean of its divisors is an integer number (4020359805).

Almost surely, 2^220450347360 is an apocalyptic number.

220450347360 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 220450347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385954541280).

220450347360 is an abundant number, since it is smaller than the sum of its proper divisors (551458735200).

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

220450347360 is a wasteful number, since it uses less digits than its factorization.

220450347360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22038 (or 22024 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 220450347360 in words is "two hundred twenty billion, four hundred fifty million, three hundred forty-seven thousand, three hundred sixty".