128763395067456 has 560 divisors, whose sum is σ = 404443206148800. Its totient is φ = 40172219640576.

The previous prime is 128763395067443. The next prime is 128763395067491. The reversal of 128763395067456 is 654760593367821.

It is a happy number.

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.

128763395067456 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 63 + 3 + 9 + 50 + 67 + 456 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 128763395067456 = 6308³ + 50464³ = 28386³ + 47310³.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1551366205591 + ... + 1551366205673.

It is an arithmetic number, because the mean of its divisors is an integer number (722220010980).

It is a 1-persistent number, because it is pandigital, but 2⋅128763395067456 = 257526790134912 is not.

Almost surely, 2^{128763395067456} is an apocalyptic number.

128763395067456 is a gapful number since it is divisible by the number (16) 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 128763395067456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202221603074400).

128763395067456 is an abundant number, since it is smaller than the sum of its proper divisors (275679811081344).

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

128763395067456 is an frugal number, since it uses more digits than its factorization.

128763395067456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 128763395067456 in words is "one hundred twenty-eight trillion, seven hundred sixty-three billion, three hundred ninety-five million, sixty-seven thousand, four hundred fifty-six".