12955657925448 has 768 divisors, whose sum is σ = 45009992908800. Its totient is φ = 3436074432000.

The previous prime is 12955657925381. The next prime is 12955657925477. The reversal of 12955657925448 is 84452975655921.

12955657925448 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 5 + 6 + 5 + 79 + 2 + 544 + 8 = 666.

12955657925448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 861921693 + ... + 861936723.

It is an arithmetic number, because the mean of its divisors is an integer number (58606761600).

Almost surely, 2^{12955657925448} is an apocalyptic number.

12955657925448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12955657925448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504996454400).

12955657925448 is an abundant number, since it is smaller than the sum of its proper divisors (32054334983352).

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

12955657925448 is a wasteful number, since it uses less digits than its factorization.

12955657925448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15199 (or 15182 counting only the distinct ones).

The product of its digits is 1088640000, while the sum is 72.

The spelling of 12955657925448 in words is "twelve trillion, nine hundred fifty-five billion, six hundred fifty-seven million, nine hundred twenty-five thousand, four hundred forty-eight".