80461600128 has 1152 divisors, whose sum is σ = 312873200640. Its totient is φ = 20379340800.

The previous prime is 80461600123. The next prime is 80461600139. The reversal of 80461600128 is 82100616408.

80461600128 is a `hidden beast` number, since 8 + 0 + 46 + 1 + 600 + 1 + 2 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80461600092 and 80461600101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80461600123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 614210623 + ... + 614210753.

It is an arithmetic number, because the mean of its divisors is an integer number (271591320).

Almost surely, 2^80461600128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80461600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156436600320).

80461600128 is an abundant number, since it is smaller than the sum of its proper divisors (232411600512).

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

80461600128 is a wasteful number, since it uses less digits than its factorization.

80461600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80461600128 in words is "eighty billion, four hundred sixty-one million, six hundred thousand, one hundred twenty-eight".