128128186484946 has 96 divisors (see below), whose sum is σ = 290947097226240. Its totient is φ = 40704256598400.

The previous prime is 128128186484939. The next prime is 128128186484983. The reversal of 128128186484946 is 649484681821821.

128128186484946 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 28 + 1 + 86 + 484 + 9 + 46 = 666.

It is a super-2 number, since 2×128128186484946² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4244440 + ... + 16561148.

It is an arithmetic number, because the mean of its divisors is an integer number (3030698929440).

Almost surely, 2^{128128186484946} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128128186484946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145473548613120).

128128186484946 is an abundant number, since it is smaller than the sum of its proper divisors (162818910741294).

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

128128186484946 is a wasteful number, since it uses less digits than its factorization.

128128186484946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12317032 (or 12317029 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 72.

The spelling of 128128186484946 in words is "one hundred twenty-eight trillion, one hundred twenty-eight billion, one hundred eighty-six million, four hundred eighty-four thousand, nine hundred forty-six".