128648240610768 has 30 divisors (see below), whose sum is σ = 360036395598594. Its totient is φ = 42882746870208.

The previous prime is 128648240610761. The next prime is 128648240610781. The reversal of 128648240610768 is 867016042846821.

It is a happy number.

128648240610768 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 4 + 8 + 2 + 4 + 0 + 610 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123275543114304 + 5372697496464 = 11102952^2 + 2317908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128648240610761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446695279755 + ... + 446695280042.

Almost surely, 2^{128648240610768} is an apocalyptic number.

128648240610768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128648240610768 is an abundant number, since it is smaller than the sum of its proper divisors (231388154987826).

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

128648240610768 is a wasteful number, since it uses less digits than its factorization.

128648240610768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893390559811 (or 893390559802 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 128648240610768 in words is "one hundred twenty-eight trillion, six hundred forty-eight billion, two hundred forty million, six hundred ten thousand, seven hundred sixty-eight".