128258211234816 has 352 divisors, whose sum is σ = 422252566041600. Its totient is φ = 38191027322880.

The previous prime is 128258211234763. The next prime is 128258211234827. The reversal of 128258211234816 is 618432112852821.

128258211234816 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 582 + 1 + 1 + 2 + 3 + 48 + 16 = 666.

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

It is an unprimeable number.

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, 5386600 + ... + 16897688.

Almost surely, 2^{128258211234816} is an apocalyptic number.

128258211234816 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 128258211234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211126283020800).

128258211234816 is an abundant number, since it is smaller than the sum of its proper divisors (293994354806784).

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

128258211234816 is a wasteful number, since it uses less digits than its factorization.

128258211234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11511162 (or 11511138 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 128258211234816 in words is "one hundred twenty-eight trillion, two hundred fifty-eight billion, two hundred eleven million, two hundred thirty-four thousand, eight hundred sixteen".