856384448304 has 720 divisors, whose sum is σ = 2999661009408. Its totient is φ = 205686835200.

The previous prime is 856384448299. The next prime is 856384448371. The reversal of 856384448304 is 403844483658.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 898619092 + ... + 898620044.

Almost surely, 2^856384448304 is an apocalyptic number.

856384448304 is a gapful number since it is divisible by the number (84) 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 856384448304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499830504704).

856384448304 is an abundant number, since it is smaller than the sum of its proper divisors (2143276561104).

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

856384448304 is a wasteful number, since it uses less digits than its factorization.

856384448304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 57.

The spelling of 856384448304 in words is "eight hundred fifty-six billion, three hundred eighty-four million, four hundred forty-eight thousand, three hundred four".