127484626046281 has 27 divisors (see below), whose sum is σ = 148745786905191. Its totient is φ = 108943903413744.

The previous prime is 127484626046269. The next prime is 127484626046293. The reversal of 127484626046281 is 182640626484721.

The square root of 127484626046281 is 11290909.

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

It is an interprime number because it is at equal distance from previous prime (127484626046269) and next prime (127484626046293).

It can be written as a sum of positive squares in only one way, i.e., 127031045348025 + 453580698256 = 11270805^2 + 673484^2 .

It is not a de Polignac number, because 127484626046281 - 2⁷ = 127484626046153 is a prime.

It is a super-2 number, since 2×127484626046281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127484626046081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28374052071 + ... + 28374056563.

Almost surely, 2^{127484626046281} is an apocalyptic number.

127484626046281 is the 11290909-th square number.

127484626046281 is the 5645455-th centered octagonal number.

It is an amenable number.

127484626046281 is a deficient number, since it is larger than the sum of its proper divisors (21261160858910).

127484626046281 is an frugal number, since it uses more digits than its factorization.

127484626046281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 61.

The spelling of 127484626046281 in words is "one hundred twenty-seven trillion, four hundred eighty-four billion, six hundred twenty-six million, forty-six thousand, two hundred eighty-one".