127331484672 has 396 divisors, whose sum is σ = 417552136560. Its totient is φ = 34302320640.

The previous prime is 127331484629. The next prime is 127331484673. The reversal of 127331484672 is 276484133721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (127331484673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 603466647 + ... + 603466857.

Almost surely, 2^127331484672 is an apocalyptic number.

127331484672 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 127331484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208776068280).

127331484672 is an abundant number, since it is smaller than the sum of its proper divisors (290220651888).

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

127331484672 is an equidigital number, since it uses as much as digits as its factorization.

127331484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 242 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 127331484672 in words is "one hundred twenty-seven billion, three hundred thirty-one million, four hundred eighty-four thousand, six hundred seventy-two".