804165561408 has 224 divisors, whose sum is σ = 2444374080000. Its totient is φ = 230757396480.

The previous prime is 804165561383. The next prime is 804165561443.

804165561408 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164482228 + ... + 164487116.

Almost surely, 2^804165561408 is an apocalyptic number.

804165561408 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 804165561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222187040000).

804165561408 is an abundant number, since it is smaller than the sum of its proper divisors (1640208518592).

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

804165561408 is a wasteful number, since it uses less digits than its factorization.

804165561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 804165561408 in words is "eight hundred four billion, one hundred sixty-five million, five hundred sixty-one thousand, four hundred eight".