11848328352 has 192 divisors, whose sum is σ = 39971957760. Its totient is φ = 3344308992.

The previous prime is 11848328329. The next prime is 11848328357. The reversal of 11848328352 is 25382384811.

11848328352 is a `hidden beast` number, since 118 + 483 + 2 + 8 + 3 + 52 = 666.

It is a super-3 number, since 3×11848328352³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11848328298 and 11848328307.

It is not an unprimeable number, because it can be changed into a prime (11848328357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490183 + ... + 513785.

It is an arithmetic number, because the mean of its divisors is an integer number (208187280).

Almost surely, 2^11848328352 is an apocalyptic number.

11848328352 is a gapful number since it is divisible by the number (12) 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 11848328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985978880).

11848328352 is an abundant number, since it is smaller than the sum of its proper divisors (28123629408).

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

11848328352 is a wasteful number, since it uses less digits than its factorization.

11848328352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23698 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 11848328352 in words is "eleven billion, eight hundred forty-eight million, three hundred twenty-eight thousand, three hundred fifty-two".