128858454816 has 216 divisors, whose sum is σ = 426076976304. Its totient is φ = 33984437760.

The previous prime is 128858454811. The next prime is 128858454833. The reversal of 128858454816 is 618454858821.

It is a super-2 number, since 2×128858454816² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128858454816.

It is not an unprimeable number, because it can be changed into a prime (128858454811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713931 + ... + 876021.

It is an arithmetic number, because the mean of its divisors is an integer number (1972578594).

Almost surely, 2^128858454816 is an apocalyptic number.

128858454816 is a gapful number since it is divisible by the number (16) 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 128858454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213038488152).

128858454816 is an abundant number, since it is smaller than the sum of its proper divisors (297218521488).

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

128858454816 is a wasteful number, since it uses less digits than its factorization.

128858454816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162144 (or 162116 counting only the distinct ones).

The product of its digits is 19660800, while the sum is 60.

The spelling of 128858454816 in words is "one hundred twenty-eight billion, eight hundred fifty-eight million, four hundred fifty-four thousand, eight hundred sixteen".