128516347008 has 1152 divisors, whose sum is σ = 477690333120. Its totient is φ = 34237292544.

The previous prime is 128516346983. The next prime is 128516347013. The reversal of 128516347008 is 800743615821.

128516347008 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 1 + 634 + 7 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2424836710 + ... + 2424836762.

Almost surely, 2^128516347008 is an apocalyptic number.

128516347008 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 128516347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238845166560).

128516347008 is an abundant number, since it is smaller than the sum of its proper divisors (349173986112).

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

128516347008 is an equidigital number, since it uses as much as digits as its factorization.

128516347008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 128516347008 in words is "one hundred twenty-eight billion, five hundred sixteen million, three hundred forty-seven thousand, eight".