12578456678544 has 105 divisors (see below), whose sum is σ = 36540537240963. Its totient is φ = 4192691214816.

The previous prime is 12578456678537. The next prime is 12578456678549. The reversal of 12578456678544 is 44587665487521.

The square root of 12578456678544 is 3546612.

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

12578456678544 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 8 + 4 + 5 + 6 + 6 + 78 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12578456678549) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 383017677 + ... + 383050515.

Almost surely, 2^{12578456678544} is an apocalyptic number.

12578456678544 is the 3546612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12578456678544

12578456678544 is an abundant number, since it is smaller than the sum of its proper divisors (23962080562419).

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

12578456678544 is an frugal number, since it uses more digits than its factorization.

12578456678544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65704 (or 32844 counting only the distinct ones).

The product of its digits is 1806336000, while the sum is 72.

The spelling of 12578456678544 in words is "twelve trillion, five hundred seventy-eight billion, four hundred fifty-six million, six hundred seventy-eight thousand, five hundred forty-four".