744330971468448 has 432 divisors, whose sum is σ = 2651796279326376. Its totient is φ = 196298393518080.

The previous prime is 744330971468431. The next prime is 744330971468477. The reversal of 744330971468448 is 844864179033447.

744330971468448 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 30 + 9 + 7 + 146 + 8 + 448 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 734610120030864 + 9720851437584 = 27103692^2 + 3117828^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4872698440 + ... + 4872851192.

Almost surely, 2^{744330971468448} is an apocalyptic number.

744330971468448 is a gapful number since it is divisible by the number (78) 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 744330971468448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325898139663188).

744330971468448 is an abundant number, since it is smaller than the sum of its proper divisors (1907465307857928).

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

744330971468448 is a wasteful number, since it uses less digits than its factorization.

744330971468448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179357 (or 179339 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 744330971468448 in words is "seven hundred forty-four trillion, three hundred thirty billion, nine hundred seventy-one million, four hundred sixty-eight thousand, four hundred forty-eight".