11744712827136 has 189 divisors, whose sum is σ = 35153673875229. Its totient is φ = 3914410779648.

The previous prime is 11744712827047. The next prime is 11744712827149. The reversal of 11744712827136 is 63172821744711.

The square root of 11744712827136 is 3427056.

It is a perfect power (a square), and thus also a powerful number.

11744712827136 is a `hidden beast` number, since 1 + 1 + 7 + 447 + 128 + 2 + 71 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3347143430400 + 8397569396736 = 1829520^2 + 2897856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1480484226 + ... + 1480492158.

Almost surely, 2^{11744712827136} is an apocalyptic number.

11744712827136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11744712827136 is the 3427056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11744712827136

11744712827136 is an abundant number, since it is smaller than the sum of its proper divisors (23408961048093).

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

11744712827136 is an frugal number, since it uses more digits than its factorization.

11744712827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15900 (or 7938 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 11744712827136 in words is "eleven trillion, seven hundred forty-four billion, seven hundred twelve million, eight hundred twenty-seven thousand, one hundred thirty-six".