220534239408 has 320 divisors, whose sum is σ = 712034426880. Its totient is φ = 57412454400.

The previous prime is 220534239353. The next prime is 220534239433. The reversal of 220534239408 is 804932435022.

220534239408 is digitally balanced in base 2, 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 220534239408.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18577891 + ... + 18589757.

It is an arithmetic number, because the mean of its divisors is an integer number (2225107584).

Almost surely, 2^220534239408 is an apocalyptic number.

220534239408 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 220534239408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356017213440).

220534239408 is an abundant number, since it is smaller than the sum of its proper divisors (491500187472).

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

220534239408 is a wasteful number, since it uses less digits than its factorization.

220534239408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 220534239408 in words is "two hundred twenty billion, five hundred thirty-four million, two hundred thirty-nine thousand, four hundred eight".