11335603968 has 432 divisors, whose sum is σ = 37123422336. Its totient is φ = 3428904960.

The previous prime is 11335603967. The next prime is 11335603991. The reversal of 11335603968 is 86930653311.

11335603968 is a `hidden beast` number, since 1 + 1 + 3 + 35 + 603 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11335603967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86531263 + ... + 86531393.

It is an arithmetic number, because the mean of its divisors is an integer number (85933848).

Almost surely, 2^11335603968 is an apocalyptic number.

11335603968 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 11335603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561711168).

11335603968 is an abundant number, since it is smaller than the sum of its proper divisors (25787818368).

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

11335603968 is a wasteful number, since it uses less digits than its factorization.

11335603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 11335603968 in words is "eleven billion, three hundred thirty-five million, six hundred three thousand, nine hundred sixty-eight".