814322800928 has 162 divisors, whose sum is σ = 2020589729739. Its totient is φ = 321965908992.

The previous prime is 814322800901. The next prime is 814322800931. The reversal of 814322800928 is 829008223418.

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 5 ways, for example, as 39310199824 + 775012601104 = 198268^2 + 880348^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=638092.

It is a super-2 number, since 2×814322800928² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 464530100 + ... + 464531852.

Almost surely, 2^814322800928 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 814322800928

814322800928 is an abundant number, since it is smaller than the sum of its proper divisors (1206266928811).

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

814322800928 is an equidigital number, since it uses as much as digits as its factorization.

814322800928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 814322800928 in words is "eight hundred fourteen billion, three hundred twenty-two million, eight hundred thousand, nine hundred twenty-eight".