39894456555648 has 1512 divisors, whose sum is σ = 133306976123685. Its totient is φ = 11885179299840.

The previous prime is 39894456555643. The next prime is 39894456555721. The reversal of 39894456555648 is 84655565449893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

39894456555648 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 4 + 4 + 56 + 5 + 556 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39870738091584 + 23718464064 = 6314328^2 + 154008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4466232.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (39894456555643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1286917953393 + ... + 1286917953423.

Almost surely, 2^{39894456555648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39894456555648

39894456555648 is an abundant number, since it is smaller than the sum of its proper divisors (93412519568037).

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

39894456555648 is an frugal number, since it uses more digits than its factorization.

39894456555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 88 counting only the distinct ones).

The product of its digits is 22394880000, while the sum is 81.

The spelling of 39894456555648 in words is "thirty-nine trillion, eight hundred ninety-four billion, four hundred fifty-six million, five hundred fifty-five thousand, six hundred forty-eight".