128489649696 has 288 divisors, whose sum is σ = 394000588800. Its totient is φ = 39711651840.

The previous prime is 128489649677. The next prime is 128489649737. The reversal of 128489649696 is 696946984821.

128489649696 is a `hidden beast` number, since 1 + 2 + 8 + 48 + 9 + 6 + 496 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×128489649696³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 100460385 + ... + 100461663.

It is an arithmetic number, because the mean of its divisors is an integer number (1368057600).

Almost surely, 2^128489649696 is an apocalyptic number.

128489649696 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 128489649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197000294400).

128489649696 is an abundant number, since it is smaller than the sum of its proper divisors (265510939104).

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

128489649696 is a wasteful number, since it uses less digits than its factorization.

128489649696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1372 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 128489649696 in words is "one hundred twenty-eight billion, four hundred eighty-nine million, six hundred forty-nine thousand, six hundred ninety-six".