11447185248 has 96 divisors (see below), whose sum is σ = 33512421600. Its totient is φ = 3801466368.

The previous prime is 11447185223. The next prime is 11447185279. The reversal of 11447185248 is 84258174411.

11447185248 is a `hidden beast` number, since 1 + 1 + 447 + 185 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207790 + ... + 257042.

It is an arithmetic number, because the mean of its divisors is an integer number (349087725).

Almost surely, 2^11447185248 is an apocalyptic number.

11447185248 is a gapful number since it is divisible by the number (18) 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 11447185248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756210800).

11447185248 is an abundant number, since it is smaller than the sum of its proper divisors (22065236352).

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

11447185248 is a wasteful number, since it uses less digits than its factorization.

11447185248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49541 (or 49527 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The spelling of 11447185248 in words is "eleven billion, four hundred forty-seven million, one hundred eighty-five thousand, two hundred forty-eight".