127961434496016 has 675 divisors, whose sum is σ = 424120012881565. Its totient is φ = 35981222323200.

The previous prime is 127961434495997. The next prime is 127961434496039. The reversal of 127961434496016 is 610694434169721.

It is a happy number.

The square root of 127961434496016 is 11312004.

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

127961434496016 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 6 + 14 + 3 + 4 + 4 + 9 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99623954192400 + 28337480303616 = 9981180^2 + 5323296^2 .

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, 1802273725261 + ... + 1802273725331.

Almost surely, 2^{127961434496016} is an apocalyptic number.

127961434496016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127961434496016 is the 11312004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127961434496016

127961434496016 is an abundant number, since it is smaller than the sum of its proper divisors (296158578385549).

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

127961434496016 is an frugal number, since it uses more digits than its factorization.

127961434496016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 127961434496016 in words is "one hundred twenty-seven trillion, nine hundred sixty-one billion, four hundred thirty-four million, four hundred ninety-six thousand, sixteen".