8460161200128 has 832 divisors, whose sum is σ = 27698905774080. Its totient is φ = 2263272652800.

The previous prime is 8460161200103. The next prime is 8460161200151. The reversal of 8460161200128 is 8210021610648.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4671540343 + ... + 4671542153.

Almost surely, 2^{8460161200128} is an apocalyptic number.

8460161200128 is a gapful number since it is divisible by the number (88) 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 8460161200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849452887040).

8460161200128 is an abundant number, since it is smaller than the sum of its proper divisors (19238744573952).

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

8460161200128 is a wasteful number, since it uses less digits than its factorization.

8460161200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 8460161200128 in words is "eight trillion, four hundred sixty billion, one hundred sixty-one million, two hundred thousand, one hundred twenty-eight".