127714680392464 has 135 divisors (see below), whose sum is σ = 274815085513717. Its totient is φ = 57454751728000.

The previous prime is 127714680392449. The next prime is 127714680392473. The reversal of 127714680392464 is 464293086417721.

The square root of 127714680392464 is 11301092.

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., 122706752526864 + 5007927865600 = 11077308^2 + 2237840^2 .

It is a super-2 number, since 2×127714680392464² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127714680392396 and 127714680392405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50222051577 + ... + 50222054119.

Almost surely, 2^{127714680392464} is an apocalyptic number.

127714680392464 is the 11301092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127714680392464

127714680392464 is an abundant number, since it is smaller than the sum of its proper divisors (147100405121253).

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

127714680392464 is an frugal number, since it uses more digits than its factorization.

127714680392464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 127714680392464 in words is "one hundred twenty-seven trillion, seven hundred fourteen billion, six hundred eighty million, three hundred ninety-two thousand, four hundred sixty-four".