11734775119872 has 900 divisors, whose sum is σ = 41048646002364. Its totient is φ = 3330924871680.

The previous prime is 11734775119789. The next prime is 11734775119897. The reversal of 11734775119872 is 27891157743711.

11734775119872 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 47 + 7 + 511 + 9 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4261681299456 + 7473093820416 = 2064384^2 + 2733696^2 .

It is a super-2 number, since 2×11734775119872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11770084878 + ... + 11770085874.

Almost surely, 2^{11734775119872} is an apocalyptic number.

11734775119872 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 11734775119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20524323001182).

11734775119872 is an abundant number, since it is smaller than the sum of its proper divisors (29313870882492).

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

11734775119872 is an frugal number, since it uses more digits than its factorization.

11734775119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1190 counting only the distinct ones).

The product of its digits is 20744640, while the sum is 63.

The spelling of 11734775119872 in words is "eleven trillion, seven hundred thirty-four billion, seven hundred seventy-five million, one hundred nineteen thousand, eight hundred seventy-two".