127314851328 has 1200 divisors, whose sum is σ = 476847765504. Its totient is φ = 33652039680.

The previous prime is 127314851327. The next prime is 127314851329. The reversal of 127314851328 is 823158413721.

127314851328 is a `hidden beast` number, since 1 + 2 + 7 + 31 + 485 + 132 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (127314851327) and next prime (127314851329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127314851327) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2708826601 + ... + 2708826647.

Almost surely, 2^127314851328 is an apocalyptic number.

127314851328 is a gapful number since it is divisible by the number (18) 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 127314851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238423882752).

127314851328 is an abundant number, since it is smaller than the sum of its proper divisors (349532914176).

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

127314851328 is an equidigital number, since it uses as much as digits as its factorization.

127314851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 127314851328 in words is "one hundred twenty-seven billion, three hundred fourteen million, eight hundred fifty-one thousand, three hundred twenty-eight".