220350256434 has 192 divisors, whose sum is σ = 602099896320. Its totient is φ = 56575532160.

The previous prime is 220350256433. The next prime is 220350256439. The reversal of 220350256434 is 434652053022.

220350256434 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 5 + 0 + 2 + 5 + 643 + 4 = 666.

220350256434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220350256433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108066787 + ... + 108068825.

It is an arithmetic number, because the mean of its divisors is an integer number (3135936960).

Almost surely, 2^220350256434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220350256434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301049948160).

220350256434 is an abundant number, since it is smaller than the sum of its proper divisors (381749639886).

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

220350256434 is a wasteful number, since it uses less digits than its factorization.

220350256434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 220350256434 in words is "two hundred twenty billion, three hundred fifty million, two hundred fifty-six thousand, four hundred thirty-four".