127303385616 has 675 divisors, whose sum is σ = 438488722903. Its totient is φ = 35622512640.

The previous prime is 127303385609. The next prime is 127303385647. The reversal of 127303385616 is 616583303721.

The square root of 127303385616 is 356796.

It is a perfect power (a square), and thus also a powerful number.

127303385616 is a `hidden beast` number, since 1 + 27 + 3 + 0 + 3 + 3 + 8 + 5 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31896531216 + 95406854400 = 178596^2 + 308880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2401950646 + ... + 2401950698.

Almost surely, 2^127303385616 is an apocalyptic number.

127303385616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127303385616 is the 356796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127303385616

127303385616 is an abundant number, since it is smaller than the sum of its proper divisors (311185337287).

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

127303385616 is a wasteful number, since it uses less digits than its factorization.

127303385616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 127303385616 in words is "one hundred twenty-seven billion, three hundred three million, three hundred eighty-five thousand, six hundred sixteen".