11248536723840 has 1536 divisors, whose sum is σ = 44967289086720. Its totient is φ = 2569273344000.

The previous prime is 11248536723833. The next prime is 11248536723847. The reversal of 11248536723840 is 4832763584211.

11248536723840 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 8 + 5 + 367 + 238 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11248536723833) and next prime (11248536723847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11248536723847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17017453110 + ... + 17017453770.

Almost surely, 2^{11248536723840} is an apocalyptic number.

11248536723840 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 11248536723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483644543360).

11248536723840 is an abundant number, since it is smaller than the sum of its proper divisors (33718752362880).

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

11248536723840 is a wasteful number, since it uses less digits than its factorization.

11248536723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 11248536723840 in words is "eleven trillion, two hundred forty-eight billion, five hundred thirty-six million, seven hundred twenty-three thousand, eight hundred forty".