809148402048 has 128 divisors (see below), whose sum is σ = 2462533873920. Its totient is φ = 230602622976.

The previous prime is 809148402037. The next prime is 809148402053. The reversal of 809148402048 is 840204841908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×809148402048² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 809148401988 and 809148402006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688015 + ... + 1446257.

It is an arithmetic number, because the mean of its divisors is an integer number (19238545890).

Almost surely, 2^809148402048 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 809148402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231266936960).

809148402048 is an abundant number, since it is smaller than the sum of its proper divisors (1653385471872).

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

809148402048 is a wasteful number, since it uses less digits than its factorization.

809148402048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758664 (or 758652 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 809148402048 in words is "eight hundred nine billion, one hundred forty-eight million, four hundred two thousand, forty-eight".