128746204633200 has 480 divisors, whose sum is σ = 514223957417472. Its totient is φ = 26750287872000.

The previous prime is 128746204633199. The next prime is 128746204633201. The reversal of 128746204633200 is 2336402647821.

It is an interprime number because it is at equal distance from previous prime (128746204633199) and next prime (128746204633201).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 128746204633200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128746204633201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1301034924 + ... + 1301133876.

Almost surely, 2^{128746204633200} is an apocalyptic number.

128746204633200 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 128746204633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257111978708736).

128746204633200 is an abundant number, since it is smaller than the sum of its proper divisors (385477752784272).

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

128746204633200 is a wasteful number, since it uses less digits than its factorization.

128746204633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113073 (or 113062 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 128746204633200 in words is "one hundred twenty-eight trillion, seven hundred forty-six billion, two hundred four million, six hundred thirty-three thousand, two hundred".