11941174144512 has 320 divisors, whose sum is σ = 38073340293120. Its totient is φ = 3684510720000.

The previous prime is 11941174144411. The next prime is 11941174144541. The reversal of 11941174144512 is 21544147114911.

11941174144512 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 117 + 4 + 14 + 4 + 512 = 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 31 ways as a sum of consecutive naturals, for example, 9250762 + ... + 10462262.

It is an arithmetic number, because the mean of its divisors is an integer number (118979188416).

Almost surely, 2^{11941174144512} is an apocalyptic number.

11941174144512 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 11941174144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036670146560).

11941174144512 is an abundant number, since it is smaller than the sum of its proper divisors (26132166148608).

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

11941174144512 is a wasteful number, since it uses less digits than its factorization.

11941174144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211582 (or 1211560 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 11941174144512 in words is "eleven trillion, nine hundred forty-one billion, one hundred seventy-four million, one hundred forty-four thousand, five hundred twelve".