11414695973472 has 1344 divisors, whose sum is σ = 39964221158400. Its totient is φ = 3170846269440.

The previous prime is 11414695973459. The next prime is 11414695973489. The reversal of 11414695973472 is 27437959641411.

11414695973472 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 6 + 9 + 597 + 34 + 7 + 2 = 666.

Its product of digits (45722880) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24977452668 + ... + 24977453124.

It is an arithmetic number, because the mean of its divisors is an integer number (29735283600).

Almost surely, 2^{11414695973472} is an apocalyptic number.

11414695973472 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 11414695973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982110579200).

11414695973472 is an abundant number, since it is smaller than the sum of its proper divisors (28549525184928).

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

11414695973472 is a wasteful number, since it uses less digits than its factorization.

11414695973472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 11414695973472 in words is "eleven trillion, four hundred fourteen billion, six hundred ninety-five million, nine hundred seventy-three thousand, four hundred seventy-two".