220455238019352 has 768 divisors, whose sum is σ = 669588365721600. Its totient is φ = 59232656609280.

The previous prime is 220455238019329. The next prime is 220455238019411. The reversal of 220455238019352 is 253910832554022.

It is a junction number, because it is equal to n+sod(n) for n = 220455238019295 and 220455238019304.

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, 476145222273 + ... + 476145222735.

It is an arithmetic number, because the mean of its divisors is an integer number (871859851200).

Almost surely, 2^{220455238019352} 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 220455238019352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334794182860800).

220455238019352 is an abundant number, since it is smaller than the sum of its proper divisors (449133127702248).

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

220455238019352 is a wasteful number, since it uses less digits than its factorization.

220455238019352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 220455238019352 in words is "two hundred twenty trillion, four hundred fifty-five billion, two hundred thirty-eight million, nineteen thousand, three hundred fifty-two".