11008412352 has 224 divisors, whose sum is σ = 38594995200. Its totient is φ = 3008434176.

The previous prime is 11008412347. The next prime is 11008412369. The reversal of 11008412352 is 25321480011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 258424 + ... + 297992.

Almost surely, 2^11008412352 is an apocalyptic number.

11008412352 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 11008412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297497600).

11008412352 is an abundant number, since it is smaller than the sum of its proper divisors (27586582848).

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

11008412352 is a wasteful number, since it uses less digits than its factorization.

11008412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39620 (or 39604 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11008412352 its reverse (25321480011), we get a palindrome (36329892363).

The spelling of 11008412352 in words is "eleven billion, eight million, four hundred twelve thousand, three hundred fifty-two".