800230804446528 has 1344 divisors, whose sum is σ = 3028281782489600. Its totient is φ = 208157471391744.

The previous prime is 800230804446481. The next prime is 800230804446533. The reversal of 800230804446528 is 825644408032008.

800230804446528 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 30 + 8 + 0 + 44 + 46 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×800230804446528³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5062205826 + ... + 5062363902.

Almost surely, 2^{800230804446528} 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 800230804446528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514140891244800).

800230804446528 is an abundant number, since it is smaller than the sum of its proper divisors (2228050978043072).

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

800230804446528 is a wasteful number, since it uses less digits than its factorization.

800230804446528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158211 (or 158175 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 800230804446528 in words is "eight hundred trillion, two hundred thirty billion, eight hundred four million, four hundred forty-six thousand, five hundred twenty-eight".