220346056161140 has 192 divisors, whose sum is σ = 570058116622848. Its totient is φ = 69668779622400.

The previous prime is 220346056161109. The next prime is 220346056161149. The reversal of 220346056161140 is 41161650643022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220346056161149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15919800620 + ... + 15919814460.

It is an arithmetic number, because the mean of its divisors is an integer number (2969052690744).

Almost surely, 2^{220346056161140} is an apocalyptic number.

220346056161140 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 220346056161140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285029058311424).

220346056161140 is an abundant number, since it is smaller than the sum of its proper divisors (349712060461708).

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

220346056161140 is a wasteful number, since it uses less digits than its factorization.

220346056161140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21658 (or 21656 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 220346056161140 in words is "two hundred twenty trillion, three hundred forty-six billion, fifty-six million, one hundred sixty-one thousand, one hundred forty".