12582752706465 has 32 divisors (see below), whose sum is σ = 20332293947136. Its totient is φ = 6644175225600.

The previous prime is 12582752706449. The next prime is 12582752706473. The reversal of 12582752706465 is 56460725728521.

It is a happy number.

12582752706465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12582752706465 - 2⁴ = 12582752706449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12582752706399 and 12582752706408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68709252 + ... + 68892138.

It is an arithmetic number, because the mean of its divisors is an integer number (635384185848).

Almost surely, 2^{12582752706465} is an apocalyptic number.

12582752706465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12582752706465 is a deficient number, since it is larger than the sum of its proper divisors (7749541240671).

12582752706465 is a wasteful number, since it uses less digits than its factorization.

12582752706465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228409.

The product of its (nonzero) digits is 56448000, while the sum is 60.

The spelling of 12582752706465 in words is "twelve trillion, five hundred eighty-two billion, seven hundred fifty-two million, seven hundred six thousand, four hundred sixty-five".