220645496448 has 256 divisors, whose sum is σ = 703374537600. Its totient is φ = 67690487808.

The previous prime is 220645496447. The next prime is 220645496483. The reversal of 220645496448 is 844694546022.

220645496448 is a `hidden beast` number, since 2 + 2 + 0 + 64 + 54 + 96 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 220645496394 and 220645496403.

It is not an unprimeable number, because it can be changed into a prime (220645496441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15582940 + ... + 15597092.

Almost surely, 2^220645496448 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 220645496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351687268800).

220645496448 is an abundant number, since it is smaller than the sum of its proper divisors (482729041152).

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

220645496448 is a wasteful number, since it uses less digits than its factorization.

220645496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14536 (or 14518 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 220645496448 in words is "two hundred twenty billion, six hundred forty-five million, four hundred ninety-six thousand, four hundred forty-eight".