11332246512240 has 480 divisors, whose sum is σ = 41003424184320. Its totient is φ = 2795767197696.

The previous prime is 11332246512211. The next prime is 11332246512253. The reversal of 11332246512240 is 4221564223311.

It is a happy number.

11332246512240 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 2 + 465 + 122 + 40 = 666.

It is a super-2 number, since 2×11332246512240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11332246512195 and 11332246512204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293813437 + ... + 293852003.

It is an arithmetic number, because the mean of its divisors is an integer number (85423800384).

Almost surely, 2^{11332246512240} is an apocalyptic number.

11332246512240 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 11332246512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501712092160).

11332246512240 is an abundant number, since it is smaller than the sum of its proper divisors (29671177672080).

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

11332246512240 is a wasteful number, since it uses less digits than its factorization.

11332246512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39109 (or 39100 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11332246512240 in words is "eleven trillion, three hundred thirty-two billion, two hundred forty-six million, five hundred twelve thousand, two hundred forty".