220278048768 has 108 divisors (see below), whose sum is σ = 636387533145. Its totient is φ = 73404776448.

The previous prime is 220278048761. The next prime is 220278048769. The reversal of 220278048768 is 867840872022.

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.

220278048768 is a `hidden beast` number, since 2 + 2 + 0 + 27 + 80 + 487 + 68 = 666.

220278048768 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136391353344 + 83886695424 = 369312^2 + 289632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331872.

It is not an unprimeable number, because it can be changed into a prime (220278048761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63717696 + ... + 63721152.

Almost surely, 2^220278048768 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 220278048768

220278048768 is an abundant number, since it is smaller than the sum of its proper divisors (416109484377).

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

220278048768 is an frugal number, since it uses more digits than its factorization.

220278048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 220278048768 in words is "two hundred twenty billion, two hundred seventy-eight million, forty-eight thousand, seven hundred sixty-eight".