128268433152 has 324 divisors, whose sum is σ = 388209267264. Its totient is φ = 40689008640.

The previous prime is 128268433127. The next prime is 128268433169. The reversal of 128268433152 is 251334862821.

128268433152 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 68 + 433 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128268433098 and 128268433107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380618328 + ... + 380618664.

Almost surely, 2^128268433152 is an apocalyptic number.

128268433152 is a gapful number since it is divisible by the number (12) 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 128268433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194104633632).

128268433152 is an abundant number, since it is smaller than the sum of its proper divisors (259940834112).

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

128268433152 is an equidigital number, since it uses as much as digits as its factorization.

128268433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 446 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 128268433152 in words is "one hundred twenty-eight billion, two hundred sixty-eight million, four hundred thirty-three thousand, one hundred fifty-two".