128674429632 has 336 divisors, whose sum is σ = 465928679520. Its totient is φ = 34601140224.

The previous prime is 128674429627. The next prime is 128674429633. The reversal of 128674429632 is 236924476821.

It is a happy number.

128674429632 is a `hidden beast` number, since 1 + 2 + 86 + 7 + 442 + 96 + 32 = 666.

128674429632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×128674429632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (128674429633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394728 + ... + 1484120.

Almost surely, 2^128674429632 is an apocalyptic number.

128674429632 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 128674429632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232964339760).

128674429632 is an abundant number, since it is smaller than the sum of its proper divisors (337254249888).

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

128674429632 is a wasteful number, since it uses less digits than its factorization.

128674429632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89445 (or 89422 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 128674429632 in words is "one hundred twenty-eight billion, six hundred seventy-four million, four hundred twenty-nine thousand, six hundred thirty-two".