128863121816016 has 160 divisors (see below), whose sum is σ = 444974299980800. Its totient is φ = 34880243483520.

The previous prime is 128863121815907. The next prime is 128863121816089. The reversal of 128863121816016 is 610618121368821.

128863121816016 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 6 + 3 + 1 + 21 + 8 + 1 + 601 + 6 = 666.

It is a super-2 number, since 2×128863121816016² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121349550 + ... + 1121464461.

It is an arithmetic number, because the mean of its divisors is an integer number (2781089374880).

Almost surely, 2^{128863121816016} is an apocalyptic number.

128863121816016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128863121816016 is an abundant number, since it is smaller than the sum of its proper divisors (316111178164784).

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

128863121816016 is a wasteful number, since it uses less digits than its factorization.

128863121816016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242814054 (or 2242814042 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 128863121816016 in words is "one hundred twenty-eight trillion, eight hundred sixty-three billion, one hundred twenty-one million, eight hundred sixteen thousand, sixteen".