127748341561 has 9 divisors (see below), whose sum is σ = 128929624239. Its totient is φ = 126577794336.

The previous prime is 127748341541. The next prime is 127748341573. The reversal of 127748341561 is 165143847721.

The square root of 127748341561 is 357419.

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

It can be written as a sum of positive squares in only one way, i.e., 2251028025 + 125497313536 = 47445^2 + 354256^2 .

It is not a de Polignac number, because 127748341561 - 2⁵ = 127748341529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127748341541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40386766 + ... + 40389928.

Almost surely, 2^127748341561 is an apocalyptic number.

127748341561 is the 357419-th square number.

127748341561 is the 178710-th centered octagonal number.

It is an amenable number.

127748341561 is a deficient number, since it is larger than the sum of its proper divisors (1181282678).

127748341561 is an frugal number, since it uses more digits than its factorization.

127748341561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 3276 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

Multiplying 127748341561 by its sum of digits (49), we get a square (6259668736489 = 2501933²).

The spelling of 127748341561 in words is "one hundred twenty-seven billion, seven hundred forty-eight million, three hundred forty-one thousand, five hundred sixty-one".