809234329248 has 96 divisors (see below), whose sum is σ = 2360453699520. Its totient is φ = 269723416320.

The previous prime is 809234329229. The next prime is 809234329249. The reversal of 809234329248 is 842923432908.

809234329248 is a `hidden beast` number, since 8 + 0 + 9 + 2 + 343 + 292 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×809234329248³ (a number of 37 digits) contains 333 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 = 809234329194 and 809234329203.

It is not an unprimeable number, because it can be changed into a prime (809234329249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13916811 + ... + 13974837.

It is an arithmetic number, because the mean of its divisors is an integer number (24588059370).

Almost surely, 2^809234329248 is an apocalyptic number.

It is an amenable number.

809234329248 is an abundant number, since it is smaller than the sum of its proper divisors (1551219370272).

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

809234329248 is a wasteful number, since it uses less digits than its factorization.

809234329248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74187 (or 74173 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 809234329248 in words is "eight hundred nine billion, two hundred thirty-four million, three hundred twenty-nine thousand, two hundred forty-eight".