809197856647488 has 5040 divisors, whose sum is σ = 3287212506014976. Its totient is φ = 192443682816000.

The previous prime is 809197856647421. The next prime is 809197856647489. The reversal of 809197856647488 is 884746658791908.

809197856647488 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 9 + 7 + 8 + 56 + 6 + 474 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 809197856647398 and 809197856647407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809197856647489) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 11084902145820 + ... + 11084902145892.

Almost surely, 2^{809197856647488} is an apocalyptic number.

809197856647488 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 809197856647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643606253007488).

809197856647488 is an abundant number, since it is smaller than the sum of its proper divisors (2478014649367488).

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

809197856647488 is a wasteful number, since it uses less digits than its factorization.

809197856647488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 46820229120, while the sum is 90.

The spelling of 809197856647488 in words is "eight hundred nine trillion, one hundred ninety-seven billion, eight hundred fifty-six million, six hundred forty-seven thousand, four hundred eighty-eight".