744541821216 has 432 divisors, whose sum is σ = 2288035530144. Its totient is φ = 238151467008.

The previous prime is 744541821203. The next prime is 744541821241. The reversal of 744541821216 is 612128145447.

744541821216 is a `hidden beast` number, since 7 + 4 + 4 + 5 + 418 + 212 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 1680681091 + ... + 1680681533.

It is an arithmetic number, because the mean of its divisors is an integer number (5296378542).

Almost surely, 2^744541821216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744541821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144017765072).

744541821216 is an abundant number, since it is smaller than the sum of its proper divisors (1543493708928).

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

744541821216 is a wasteful number, since it uses less digits than its factorization.

744541821216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 734 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 744541821216 in words is "seven hundred forty-four billion, five hundred forty-one million, eight hundred twenty-one thousand, two hundred sixteen".