128460565632 has 384 divisors, whose sum is σ = 414624712320. Its totient is φ = 34508390400.

The previous prime is 128460565631. The next prime is 128460565643. The reversal of 128460565632 is 236565064821.

128460565632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128460565631) 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 47 ways as a sum of consecutive naturals, for example, 86738332 + ... + 86739812.

It is an arithmetic number, because the mean of its divisors is an integer number (1079751855).

Almost surely, 2^128460565632 is an apocalyptic number.

128460565632 is a gapful number since it is divisible by the number (12) 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 128460565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207312356160).

128460565632 is an abundant number, since it is smaller than the sum of its proper divisors (286164146688).

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

128460565632 is a wasteful number, since it uses less digits than its factorization.

128460565632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 128460565632 in words is "one hundred twenty-eight billion, four hundred sixty million, five hundred sixty-five thousand, six hundred thirty-two".