128544853248 has 540 divisors, whose sum is σ = 455500412640. Its totient is φ = 34765645824.

The previous prime is 128544853231. The next prime is 128544853277. The reversal of 128544853248 is 842358445821.

128544853248 is a `hidden beast` number, since 1 + 2 + 8 + 544 + 8 + 53 + 2 + 48 = 666.

It is a super-2 number, since 2×128544853248² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128544853194 and 128544853203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105105565 + ... + 105106787.

Almost surely, 2^128544853248 is an apocalyptic number.

128544853248 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 128544853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227750206320).

128544853248 is an abundant number, since it is smaller than the sum of its proper divisors (326955559392).

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

128544853248 is an equidigital number, since it uses as much as digits as its factorization.

128544853248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1254 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 128544853248 in words is "one hundred twenty-eight billion, five hundred forty-four million, eight hundred fifty-three thousand, two hundred forty-eight".