7481369288448 has 252 divisors, whose sum is σ = 24425493158808. Its totient is φ = 2267080980480.

The previous prime is 7481369288423. The next prime is 7481369288521. The reversal of 7481369288448 is 8448829631847.

7481369288448 is a `hidden beast` number, since 7 + 4 + 8 + 13 + 6 + 92 + 88 + 448 = 666.

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 230686 + ... + 3875042.

It is an arithmetic number, because the mean of its divisors is an integer number (96926560154).

Almost surely, 2^{7481369288448} 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 7481369288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212746579404).

7481369288448 is an abundant number, since it is smaller than the sum of its proper divisors (16944123870360).

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

7481369288448 is an equidigital number, since it uses as much as digits as its factorization.

7481369288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644402 (or 3644373 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 7481369288448 in words is "seven trillion, four hundred eighty-one billion, three hundred sixty-nine million, two hundred eighty-eight thousand, four hundred forty-eight".