11734521103872 has 840 divisors, whose sum is σ = 43045891594200. Its totient is φ = 3176167292928.

The previous prime is 11734521103861. The next prime is 11734521103897. The reversal of 11734521103872 is 27830112543711.

11734521103872 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 452 + 110 + 3 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 347477004 + ... + 347510772.

Almost surely, 2^{11734521103872} is an apocalyptic number.

11734521103872 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 11734521103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21522945797100).

11734521103872 is an abundant number, since it is smaller than the sum of its proper divisors (31311370490328).

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

11734521103872 is an frugal number, since it uses more digits than its factorization.

11734521103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33838 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11734521103872 in words is "eleven trillion, seven hundred thirty-four billion, five hundred twenty-one million, one hundred three thousand, eight hundred seventy-two".