128675577618 has 384 divisors, whose sum is σ = 360437575680. Its totient is φ = 33583921920.

The previous prime is 128675577559. The next prime is 128675577619. The reversal of 128675577618 is 816775576821.

128675577618 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 7 + 5 + 5 + 7 + 7 + 618 = 666.

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 (128675577619) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 413747683 + ... + 413747993.

It is an arithmetic number, because the mean of its divisors is an integer number (938639520).

Almost surely, 2^128675577618 is an apocalyptic number.

128675577618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128675577618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180218787840).

128675577618 is an abundant number, since it is smaller than the sum of its proper divisors (231761998062).

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

128675577618 is a wasteful number, since it uses less digits than its factorization.

128675577618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 63.

The spelling of 128675577618 in words is "one hundred twenty-eight billion, six hundred seventy-five million, five hundred seventy-seven thousand, six hundred eighteen".