128046585784320 has 4032 divisors, whose sum is σ = 572497251580800. Its totient is φ = 26899654901760.

The previous prime is 128046585784231. The next prime is 128046585784321. The reversal of 128046585784320 is 23487585640821.

128046585784320 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 4 + 6 + 58 + 578 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (128046585784321) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 921198458811 + ... + 921198458949.

It is an arithmetic number, because the mean of its divisors is an integer number (141988405650).

Almost surely, 2^{128046585784320} is an apocalyptic number.

128046585784320 is a gapful number since it is divisible by the number (10) 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 128046585784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286248625790400).

128046585784320 is an abundant number, since it is smaller than the sum of its proper divisors (444450665796480).

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

128046585784320 is an equidigital number, since it uses as much as digits as its factorization.

128046585784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 128046585784320 in words is "one hundred twenty-eight trillion, forty-six billion, five hundred eighty-five million, seven hundred eighty-four thousand, three hundred twenty".