220144513440600 has 768 divisors, whose sum is σ = 892244742681600. Its totient is φ = 48842196480000.

The previous prime is 220144513440569. The next prime is 220144513440619. The reversal of 220144513440600 is 6044315441022.

220144513440600 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 4 + 4 + 5 + 1 + 3 + 4 + 40 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304950075 + ... + 305671125.

It is an arithmetic number, because the mean of its divisors is an integer number (1161777008700).

Almost surely, 2^{220144513440600} is an apocalyptic number.

220144513440600 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 220144513440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446122371340800).

220144513440600 is an abundant number, since it is smaller than the sum of its proper divisors (672100229241000).

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

220144513440600 is a wasteful number, since it uses less digits than its factorization.

220144513440600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721321 (or 721306 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 220144513440600 its reverse (6044315441022), we get a palindrome (226188828881622).

The spelling of 220144513440600 in words is "two hundred twenty trillion, one hundred forty-four billion, five hundred thirteen million, four hundred forty thousand, six hundred".