11847795456 has 432 divisors, whose sum is σ = 38535254016. Its totient is φ = 3218890752.

The previous prime is 11847795383. The next prime is 11847795469. The reversal of 11847795456 is 65459774811.

It is a junction number, because it is equal to n+sod(n) for n = 11847795396 and 11847795405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93289665 + ... + 93289791.

Almost surely, 2^11847795456 is an apocalyptic number.

11847795456 is a gapful number since it is divisible by the number (16) 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 11847795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267627008).

11847795456 is an abundant number, since it is smaller than the sum of its proper divisors (26687458560).

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

11847795456 is a wasteful number, since it uses less digits than its factorization.

11847795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 57.

The spelling of 11847795456 in words is "eleven billion, eight hundred forty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".