128446806096 has 240 divisors, whose sum is σ = 420885823488. Its totient is φ = 35805369600.

The previous prime is 128446806083. The next prime is 128446806113. The reversal of 128446806096 is 690608644821.

128446806096 is a `hidden beast` number, since 1 + 28 + 4 + 4 + 6 + 8 + 0 + 609 + 6 = 666.

It is a super-2 number, since 2×128446806096² (a number of 23 digits) contains 22 as substring.

It is a congruent 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, 15677361 + ... + 15685551.

Almost surely, 2^128446806096 is an apocalyptic number.

128446806096 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 128446806096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210442911744).

128446806096 is an abundant number, since it is smaller than the sum of its proper divisors (292439017392).

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

128446806096 is a wasteful number, since it uses less digits than its factorization.

128446806096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 128446806096 in words is "one hundred twenty-eight billion, four hundred forty-six million, eight hundred six thousand, ninety-six".