128948465856 has 336 divisors, whose sum is σ = 405678656256. Its totient is φ = 36033693696.

The previous prime is 128948465797. The next prime is 128948465869. The reversal of 128948465856 is 658564849821.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×128948465856³ (a number of 34 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 98962101 + ... + 98963403.

Almost surely, 2^128948465856 is an apocalyptic number.

128948465856 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 128948465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202839328128).

128948465856 is an abundant number, since it is smaller than the sum of its proper divisors (276730190400).

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

128948465856 is a wasteful number, since it uses less digits than its factorization.

128948465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1539 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 66.

The spelling of 128948465856 in words is "one hundred twenty-eight billion, nine hundred forty-eight million, four hundred sixty-five thousand, eight hundred fifty-six".