74353448448 has 400 divisors, whose sum is σ = 235762053120. Its totient is φ = 23263801344.

The previous prime is 74353448419. The next prime is 74353448497. The reversal of 74353448448 is 84484435347.

74353448448 is a `hidden beast` number, since 74 + 3 + 53 + 4 + 484 + 48 = 666.

It is a super-2 number, since 2×74353448448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 74353448394 and 74353448403.

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 39 ways as a sum of consecutive naturals, for example, 100071565 + ... + 100072307.

Almost surely, 2^74353448448 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 74353448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117881026560).

74353448448 is an abundant number, since it is smaller than the sum of its proper divisors (161408604672).

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

74353448448 is a wasteful number, since it uses less digits than its factorization.

74353448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 894 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 54.

The spelling of 74353448448 in words is "seventy-four billion, three hundred fifty-three million, four hundred forty-eight thousand, four hundred forty-eight".