128888819136 has 896 divisors, whose sum is σ = 492459264000. Its totient is φ = 32757903360.

The previous prime is 128888819119. The next prime is 128888819141. The reversal of 128888819136 is 631918888821.

It is a super-2 number, since 2×128888819136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345546246 + ... + 345546618.

Almost surely, 2^128888819136 is an apocalyptic number.

128888819136 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 128888819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246229632000).

128888819136 is an abundant number, since it is smaller than the sum of its proper divisors (363570444864).

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

128888819136 is a wasteful number, since it uses less digits than its factorization.

128888819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 449 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 63.

The spelling of 128888819136 in words is "one hundred twenty-eight billion, eight hundred eighty-eight million, eight hundred nineteen thousand, one hundred thirty-six".