7448088832448 has 112 divisors (see below), whose sum is σ = 17032427850240. Its totient is φ = 3195895449600.

The previous prime is 7448088832447. The next prime is 7448088832469. The reversal of 7448088832448 is 8442388808447.

It is a happy number.

It is a super-2 number, since 2×7448088832448² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7448088832447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2767865 + ... + 4749447.

Almost surely, 2^{7448088832448} 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 7448088832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516213925120).

7448088832448 is an abundant number, since it is smaller than the sum of its proper divisors (9584339017792).

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

7448088832448 is a wasteful number, since it uses less digits than its factorization.

7448088832448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981906 (or 1981896 counting only the distinct ones).

The product of its (nonzero) digits is 352321536, while the sum is 68.

The spelling of 7448088832448 in words is "seven trillion, four hundred forty-eight billion, eighty-eight million, eight hundred thirty-two thousand, four hundred forty-eight".