128114309952 has 42 divisors (see below), whose sum is σ = 367216539378. Its totient is φ = 42704769792.

The previous prime is 128114309933. The next prime is 128114309959. The reversal of 128114309952 is 259903411821.

128114309952 is a `hidden beast` number, since 1 + 2 + 81 + 1 + 430 + 99 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122628833856 + 5485476096 = 350184^2 + 74064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128114309898 and 128114309907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128114309959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111209763 + ... + 111210914.

Almost surely, 2^128114309952 is an apocalyptic number.

128114309952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128114309952 is an abundant number, since it is smaller than the sum of its proper divisors (239102229426).

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

128114309952 is a wasteful number, since it uses less digits than its factorization.

128114309952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222420695 (or 222420682 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 128114309952 in words is "one hundred twenty-eight billion, one hundred fourteen million, three hundred nine thousand, nine hundred fifty-two".