11653346336 has 48 divisors (see below), whose sum is σ = 24112468800. Its totient is φ = 5533195008.

The previous prime is 11653346321. The next prime is 11653346347. The reversal of 11653346336 is 63364335611.

11653346336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11653346293 and 11653346302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45350 + ... + 159258.

It is an arithmetic number, because the mean of its divisors is an integer number (502343100).

Almost surely, 2^11653346336 is an apocalyptic number.

11653346336 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 11653346336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056234400).

11653346336 is an abundant number, since it is smaller than the sum of its proper divisors (12459122464).

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

11653346336 is a wasteful number, since it uses less digits than its factorization.

11653346336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114081 (or 114073 counting only the distinct ones).

The product of its digits is 349920, while the sum is 41.

The spelling of 11653346336 in words is "eleven billion, six hundred fifty-three million, three hundred forty-six thousand, three hundred thirty-six".