220340029114944 has 672 divisors, whose sum is σ = 714010255934976. Its totient is φ = 67097290014720.

The previous prime is 220340029114873. The next prime is 220340029114967. The reversal of 220340029114944 is 449411920043022.

220340029114944 is a `hidden beast` number, since 2 + 2 + 0 + 340 + 0 + 291 + 14 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220340029114944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2135377977 + ... + 2135481159.

It is an arithmetic number, because the mean of its divisors is an integer number (1062515261808).

Almost surely, 2^{220340029114944} is an apocalyptic number.

220340029114944 is a gapful number since it is divisible by the number (24) 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 220340029114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357005127967488).

220340029114944 is an abundant number, since it is smaller than the sum of its proper divisors (493670226820032).

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

220340029114944 is a wasteful number, since it uses less digits than its factorization.

220340029114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103465 (or 103443 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 220340029114944 its reverse (449411920043022), we get a palindrome (669751949157966).

The spelling of 220340029114944 in words is "two hundred twenty trillion, three hundred forty billion, twenty-nine million, one hundred fourteen thousand, nine hundred forty-four".