220466264448 has 128 divisors (see below), whose sum is σ = 600719224320. Its totient is φ = 71606982656.

The previous prime is 220466264441. The next prime is 220466264461. The reversal of 220466264448 is 844462664022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 220466264397 and 220466264406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220466264441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4069990 + ... + 4123802.

It is an arithmetic number, because the mean of its divisors is an integer number (4693118940).

Almost surely, 2^220466264448 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 220466264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300359612160).

220466264448 is an abundant number, since it is smaller than the sum of its proper divisors (380252959872).

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

220466264448 is a wasteful number, since it uses less digits than its factorization.

220466264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54104 (or 54092 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 220466264448 in words is "two hundred twenty billion, four hundred sixty-six million, two hundred sixty-four thousand, four hundred forty-eight".