128978495218368 has 224 divisors, whose sum is σ = 381655165893120. Its totient is φ = 42711473525760.

The previous prime is 128978495218367. The next prime is 128978495218411. The reversal of 128978495218368 is 863812594879821.

It is a happy number.

128978495218368 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 7 + 8 + 4 + 9 + 521 + 83 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (128978495218367) 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 31 ways as a sum of consecutive naturals, for example, 1663277005 + ... + 1663354547.

It is an arithmetic number, because the mean of its divisors is an integer number (1703817704880).

Almost surely, 2^{128978495218368} is an apocalyptic number.

128978495218368 is a gapful number since it is divisible by the number (18) 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 128978495218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190827582946560).

128978495218368 is an abundant number, since it is smaller than the sum of its proper divisors (252676670674752).

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

128978495218368 is a wasteful number, since it uses less digits than its factorization.

128978495218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83852 (or 83836 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 81.

The spelling of 128978495218368 in words is "one hundred twenty-eight trillion, nine hundred seventy-eight billion, four hundred ninety-five million, two hundred eighteen thousand, three hundred sixty-eight".