12516328449657 has 48 divisors (see below), whose sum is σ = 18727794708480. Its totient is φ = 8050677941376.

The previous prime is 12516328449631. The next prime is 12516328449697. The reversal of 12516328449657 is 75694482361521.

It is a happy number.

12516328449657 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 63 + 2 + 84 + 496 + 5 + 7 = 666.

It is not a de Polignac number, because 12516328449657 - 2¹⁰ = 12516328448633 is a prime.

It is a super-4 number, since 4×12516328449657⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12516328449594 and 12516328449603.

It is not an unprimeable number, because it can be changed into a prime (12516328449697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8394088 + ... + 9772070.

It is an arithmetic number, because the mean of its divisors is an integer number (390162389760).

Almost surely, 2^{12516328449657} is an apocalyptic number.

It is an amenable number.

12516328449657 is a deficient number, since it is larger than the sum of its proper divisors (6211466258823).

12516328449657 is a wasteful number, since it uses less digits than its factorization.

12516328449657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378342 (or 1378339 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 12516328449657 in words is "twelve trillion, five hundred sixteen billion, three hundred twenty-eight million, four hundred forty-nine thousand, six hundred fifty-seven".