127493985969 has 63 divisors (see below), whose sum is σ = 215471666137. Its totient is φ = 72643753224.

The previous prime is 127493985887. The next prime is 127493986031. The reversal of 127493985969 is 969589394721.

The square root of 127493985969 is 357063.

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

127493985969 is a `hidden beast` number, since 1 + 27 + 4 + 9 + 3 + 9 + 8 + 596 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 127493985969 - 2¹⁵ = 127493953201 is a prime.

It is a super-2 number, since 2×127493985969² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127493985897 and 127493985906.

It is not an unprimeable number, because it can be changed into a prime (127493987969) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 367417654 + ... + 367418000.

Almost surely, 2^127493985969 is an apocalyptic number.

127493985969 is the 357063-rd square number.

127493985969 is the 178532-nd centered octagonal number.

It is an amenable number.

127493985969 is a deficient number, since it is larger than the sum of its proper divisors (87977680168).

127493985969 is an frugal number, since it uses more digits than its factorization.

127493985969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 357 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 127493985969 in words is "one hundred twenty-seven billion, four hundred ninety-three million, nine hundred eighty-five thousand, nine hundred sixty-nine".