128638262502144 has 288 divisors, whose sum is σ = 385298774784000. Its totient is φ = 42328122310656.

The previous prime is 128638262502103. The next prime is 128638262502247. The reversal of 128638262502144 is 441205262836821.

128638262502144 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 8 + 2 + 625 + 0 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×128638262502144³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079143784 + ... + 3079185560.

It is an arithmetic number, because the mean of its divisors is an integer number (1337842968000).

Almost surely, 2^{128638262502144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128638262502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192649387392000).

128638262502144 is an abundant number, since it is smaller than the sum of its proper divisors (256660512281856).

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

128638262502144 is an equidigital number, since it uses as much as digits as its factorization.

128638262502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47520 (or 47500 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 128638262502144 in words is "one hundred twenty-eight trillion, six hundred thirty-eight billion, two hundred sixty-two million, five hundred two thousand, one hundred forty-four".