128025243648 has 156 divisors (see below), whose sum is σ = 370586395920. Its totient is φ = 42584997888.

The previous prime is 128025243637. The next prime is 128025243673. The reversal of 128025243648 is 846342520821.

128025243648 is a `hidden beast` number, since 1 + 2 + 80 + 2 + 524 + 3 + 6 + 48 = 666.

It is a super-2 number, since 2×128025243648² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18760365 + ... + 18767187.

It is an arithmetic number, because the mean of its divisors is an integer number (2375553820).

Almost surely, 2^128025243648 is an apocalyptic number.

128025243648 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 128025243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185293197960).

128025243648 is an abundant number, since it is smaller than the sum of its proper divisors (242561152272).

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

128025243648 is an equidigital number, since it uses as much as digits as its factorization.

128025243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 128025243648 in words is "one hundred twenty-eight billion, twenty-five million, two hundred forty-three thousand, six hundred forty-eight".