128033391456000 has 864 divisors, whose sum is σ = 488032671672000. Its totient is φ = 32118649651200.

The previous prime is 128033391455999. The next prime is 128033391456001. The reversal of 128033391456000 is 654193330821.

128033391456000 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 3 + 3 + 39 + 1 + 4 + 5 + 600 + 0 = 666.

128033391456000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (128033391455999) and next prime (128033391456001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128033391456001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13214299156 + ... + 13214308844.

It is an arithmetic number, because the mean of its divisors is an integer number (564852629250).

Almost surely, 2^{128033391456000} is an apocalyptic number.

128033391456000 is a gapful number since it is divisible by the number (10) 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 128033391456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244016335836000).

128033391456000 is an abundant number, since it is smaller than the sum of its proper divisors (359999280216000).

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

128033391456000 is a wasteful number, since it uses less digits than its factorization.

128033391456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 128033391456000 in words is "one hundred twenty-eight trillion, thirty-three billion, three hundred ninety-one million, four hundred fifty-six thousand".