804556483752 has 256 divisors, whose sum is σ = 2388608409600. Its totient is φ = 221056542720.

The previous prime is 804556483693. The next prime is 804556483763. The reversal of 804556483752 is 257384655408.

It is a super-2 number, since 2×804556483752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 804556483692 and 804556483701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542518803 + ... + 542520285.

It is an arithmetic number, because the mean of its divisors is an integer number (9330501600).

Almost surely, 2^804556483752 is an apocalyptic number.

804556483752 is a gapful number since it is divisible by the number (82) 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 804556483752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194304204800).

804556483752 is an abundant number, since it is smaller than the sum of its proper divisors (1584051925848).

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

804556483752 is a wasteful number, since it uses less digits than its factorization.

804556483752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 804556483752 in words is "eight hundred four billion, five hundred fifty-six million, four hundred eighty-three thousand, seven hundred fifty-two".