127483648512 has 320 divisors, whose sum is σ = 377269567488. Its totient is φ = 38249164800.

The previous prime is 127483648489. The next prime is 127483648543. The reversal of 127483648512 is 215846384721.

127483648512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (2580480) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259640587 + ... + 259641077.

Almost surely, 2^127483648512 is an apocalyptic number.

127483648512 is a gapful number since it is divisible by the number (12) 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 127483648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188634783744).

127483648512 is an abundant number, since it is smaller than the sum of its proper divisors (249785918976).

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

127483648512 is an equidigital number, since it uses as much as digits as its factorization.

127483648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 634 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 127483648512 in words is "one hundred twenty-seven billion, four hundred eighty-three million, six hundred forty-eight thousand, five hundred twelve".