11342613312 has 336 divisors, whose sum is σ = 35925760000. Its totient is φ = 3407754240.

The previous prime is 11342613311. The next prime is 11342613319. The reversal of 11342613312 is 21331624311.

It is a happy number.

11342613312 is a `hidden beast` number, since 1 + 1 + 3 + 42 + 613 + 3 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342613311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22730439 + ... + 22730937.

Almost surely, 2^11342613312 is an apocalyptic number.

11342613312 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 11342613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962880000).

11342613312 is an abundant number, since it is smaller than the sum of its proper divisors (24583146688).

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

11342613312 is a wasteful number, since it uses less digits than its factorization.

11342613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The spelling of 11342613312 in words is "eleven billion, three hundred forty-two million, six hundred thirteen thousand, three hundred twelve".