128230036953984 has 1152 divisors, whose sum is σ = 445031399292480. Its totient is φ = 34682323599360.

The previous prime is 128230036953983. The next prime is 128230036954013. The reversal of 128230036953984 is 489359630032821.

128230036953984 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 30 + 0 + 3 + 69 + 539 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128230036953983) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216239522392 + ... + 216239522984.

Almost surely, 2^{128230036953984} is an apocalyptic number.

128230036953984 is a gapful number since it is divisible by the number (14) 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 128230036953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222515699646240).

128230036953984 is an abundant number, since it is smaller than the sum of its proper divisors (316801362338496).

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

128230036953984 is a wasteful number, since it uses less digits than its factorization.

128230036953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 128230036953984 in words is "one hundred twenty-eight trillion, two hundred thirty billion, thirty-six million, nine hundred fifty-three thousand, nine hundred eighty-four".