128346087195648 has 1056 divisors, whose sum is σ = 449153486745600. Its totient is φ = 36591472189440.

The previous prime is 128346087195569. The next prime is 128346087195721. The reversal of 128346087195648 is 846591780643821.

128346087195648 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 608 + 7 + 1 + 9 + 5 + 6 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48051697353 + ... + 48051700023.

It is a 1-persistent number, because it is pandigital, but 2⋅128346087195648 = 256692174391296 is not.

Almost surely, 2^{128346087195648} is an apocalyptic number.

128346087195648 is a gapful number since it is divisible by the number (18) 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 128346087195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224576743372800).

128346087195648 is an abundant number, since it is smaller than the sum of its proper divisors (320807399549952).

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

128346087195648 is an frugal number, since it uses more digits than its factorization.

128346087195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 128346087195648 in words is "one hundred twenty-eight trillion, three hundred forty-six billion, eighty-seven million, one hundred ninety-five thousand, six hundred forty-eight".