128486219626944 has 1008 divisors, whose sum is σ = 414008067283200. Its totient is φ = 39410617319424.

The previous prime is 128486219626943. The next prime is 128486219626951. The reversal of 128486219626944 is 449626912684821.

128486219626944 is a `hidden beast` number, since 1 + 2 + 8 + 486 + 21 + 9 + 62 + 69 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128486219626943) 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, 181221748062 + ... + 181221748770.

Almost surely, 2^{128486219626944} 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 128486219626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207004033641600).

128486219626944 is an abundant number, since it is smaller than the sum of its proper divisors (285521847656256).

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

128486219626944 is an frugal number, since it uses more digits than its factorization.

128486219626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1263 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 128486219626944 in words is "one hundred twenty-eight trillion, four hundred eighty-six billion, two hundred nineteen million, six hundred twenty-six thousand, nine hundred forty-four".