220150628352 has 234 divisors, whose sum is σ = 660418320783. Its totient is φ = 73383542784.

The previous prime is 220150628339. The next prime is 220150628389. The reversal of 220150628352 is 253826051022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁸ ⋅ 2!.

220150628352 is a `hidden beast` number, since 2 + 20 + 1 + 5 + 0 + 628 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110075314176 + 110075314176 = 331776^2 + 331776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73383542783 + 73383542784 + 73383542785.

Almost surely, 2^220150628352 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 220150628352

220150628352 is an abundant number, since it is smaller than the sum of its proper divisors (440267692431).

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

220150628352 is an frugal number, since it uses more digits than its factorization.

220150628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 220150628352 its reverse (253826051022), we get a palindrome (473976679374).

The spelling of 220150628352 in words is "two hundred twenty billion, one hundred fifty million, six hundred twenty-eight thousand, three hundred fifty-two".