804618816408 has 128 divisors (see below), whose sum is σ = 2448357753600. Its totient is φ = 242811993600.

The previous prime is 804618816349. The next prime is 804618816409.

It is a happy number.

804618816408 is a `hidden beast` number, since 8 + 0 + 4 + 618 + 8 + 16 + 4 + 0 + 8 = 666.

804618816408 is nontrivially palindromic in base 10.

804618816408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×804618816408² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804618816409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129966 + ... + 1275197.

It is an arithmetic number, because the mean of its divisors is an integer number (19127794950).

Almost surely, 2^804618816408 is an apocalyptic number.

804618816408 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 804618816408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224178876800).

804618816408 is an abundant number, since it is smaller than the sum of its proper divisors (1643738937192).

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

804618816408 is a wasteful number, since it uses less digits than its factorization.

804618816408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405430 (or 1405420 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 804618816408 in words is "eight hundred four billion, six hundred eighteen million, eight hundred sixteen thousand, four hundred eight".