272618448128 has 324 divisors, whose sum is σ = 624008508480. Its totient is φ = 118775255040.

The previous prime is 272618448127. The next prime is 272618448131. The reversal of 272618448128 is 821844816272.

272618448128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 272618448128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272618448121) 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 35 ways as a sum of consecutive naturals, for example, 3284559575 + ... + 3284559657.

Almost surely, 2^272618448128 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 272618448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312004254240).

272618448128 is an abundant number, since it is smaller than the sum of its proper divisors (351390060352).

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

272618448128 is an equidigital number, since it uses as much as digits as its factorization.

272618448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 208 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 53.

The spelling of 272618448128 in words is "two hundred seventy-two billion, six hundred eighteen million, four hundred forty-eight thousand, one hundred twenty-eight".