127423030288761 has 27 divisors (see below), whose sum is σ = 185977323438543. Its totient is φ = 84070759870080.

The previous prime is 127423030288753. The next prime is 127423030288777. The reversal of 127423030288761 is 167882030324721.

It is a happy number.

The square root of 127423030288761 is 11288181.

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

127423030288761 is a `hidden beast` number, since 1 + 2 + 74 + 230 + 3 + 0 + 288 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57217802420025 + 70205227868736 = 7564245^2 + 8378856^2 .

It is not a de Polignac number, because 127423030288761 - 2³ = 127423030288753 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 127423030288698 and 127423030288707.

It is not an unprimeable number, because it can be changed into a prime (127423030288711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3284841276 + ... + 3284880066.

Almost surely, 2^{127423030288761} is an apocalyptic number.

127423030288761 is the 11288181-st square number.

127423030288761 is the 5644091-st centered octagonal number.

It is an amenable number.

127423030288761 is a deficient number, since it is larger than the sum of its proper divisors (58554293149782).

127423030288761 is an frugal number, since it uses more digits than its factorization.

127423030288761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77782 (or 38891 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 127423030288761 in words is "one hundred twenty-seven trillion, four hundred twenty-three billion, thirty million, two hundred eighty-eight thousand, seven hundred sixty-one".