11624613906240 has 168 divisors, whose sum is σ = 40009490801280. Its totient is φ = 3097907457024.

The previous prime is 11624613906197. The next prime is 11624613906247. The reversal of 11624613906240 is 4260931642611.

11624613906240 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 6 + 13 + 9 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11624613906247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195397 + ... + 5784443.

It is an arithmetic number, because the mean of its divisors is an integer number (238151730960).

Almost surely, 2^{11624613906240} is an apocalyptic number.

11624613906240 is a gapful number since it is divisible by the number (10) 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 11624613906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004745400640).

11624613906240 is an abundant number, since it is smaller than the sum of its proper divisors (28384876895040).

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

11624613906240 is a wasteful number, since it uses less digits than its factorization.

11624613906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590629 (or 2590616 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11624613906240 in words is "eleven trillion, six hundred twenty-four billion, six hundred thirteen million, nine hundred six thousand, two hundred forty".