220145346516312 has 320 divisors, whose sum is σ = 711133971324480. Its totient is φ = 62324538974208.

The previous prime is 220145346516259. The next prime is 220145346516313. The reversal of 220145346516312 is 213615643541022.

220145346516312 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 4 + 5 + 3 + 4 + 6 + 5 + 1 + 631 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220145346516313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1882603798 + ... + 1882720730.

It is an arithmetic number, because the mean of its divisors is an integer number (2222293660389).

Almost surely, 2^{220145346516312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220145346516312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355566985662240).

220145346516312 is an abundant number, since it is smaller than the sum of its proper divisors (490988624808168).

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

220145346516312 is a wasteful number, since it uses less digits than its factorization.

220145346516312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120744 (or 120731 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 220145346516312 in words is "two hundred twenty trillion, one hundred forty-five billion, three hundred forty-six million, five hundred sixteen thousand, three hundred twelve".