128618496 has 104 divisors (see below), whose sum is σ = 381372960. Its totient is φ = 42835968.

The previous prime is 128618471. The next prime is 128618519. The reversal of 128618496 is 694816821.

128618496 is a `hidden beast` number, since 1 + 28 + 618 + 4 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110011 + ... + 111173.

Almost surely, 2^128618496 is an apocalyptic number.

128618496 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 128618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190686480).

128618496 is an abundant number, since it is smaller than the sum of its proper divisors (252754464).

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

128618496 is an equidigital number, since it uses as much as digits as its factorization.

128618496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1168 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 128618496 is about 11341.0094788780. The cubic root of 128618496 is about 504.7788411728.

The spelling of 128618496 in words is "one hundred twenty-eight million, six hundred eighteen thousand, four hundred ninety-six".