80937128448 has 450 divisors, whose sum is σ = 267641250723. Its totient is φ = 24333281280.

The previous prime is 80937128413. The next prime is 80937128453. The reversal of 80937128448 is 84482173908.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 40468564224 + 40468564224 = 201168^2 + 201168^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=201168.

It is a super-2 number, since 2×80937128448² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80937128394 and 80937128403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 637300161 + ... + 637300287.

Almost surely, 2^80937128448 is an apocalyptic number.

80937128448 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 80937128448

80937128448 is an abundant number, since it is smaller than the sum of its proper divisors (186704122275).

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

80937128448 is an equidigital number, since it uses as much as digits as its factorization.

80937128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 80937128448 in words is "eighty billion, nine hundred thirty-seven million, one hundred twenty-eight thousand, four hundred forty-eight".