220132052448 has 192 divisors, whose sum is σ = 720733966848. Its totient is φ = 57153208320.

The previous prime is 220132052417. The next prime is 220132052489. The reversal of 220132052448 is 844250231022.

220132052448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23775436 + ... + 23784692.

It is an arithmetic number, because the mean of its divisors is an integer number (3753822744).

Almost surely, 2^220132052448 is an apocalyptic number.

220132052448 is a gapful number since it is divisible by the number (28) 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 220132052448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360366983424).

220132052448 is an abundant number, since it is smaller than the sum of its proper divisors (500601914400).

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

220132052448 is a wasteful number, since it uses less digits than its factorization.

220132052448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 220132052448 in words is "two hundred twenty billion, one hundred thirty-two million, fifty-two thousand, four hundred forty-eight".