71545448448 has 192 divisors, whose sum is σ = 216451872000. Its totient is φ = 23340220416.

The previous prime is 71545448411. The next prime is 71545448459. The reversal of 71545448448 is 84484454517.

71545448448 is a `hidden beast` number, since 7 + 1 + 54 + 544 + 8 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 71545448394 and 71545448403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585148 + ... + 2612676.

It is an arithmetic number, because the mean of its divisors is an integer number (1127353500).

Almost surely, 2^71545448448 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 71545448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108225936000).

71545448448 is an abundant number, since it is smaller than the sum of its proper divisors (144906423552).

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

71545448448 is a wasteful number, since it uses less digits than its factorization.

71545448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27607 (or 27581 counting only the distinct ones).

The product of its digits is 11468800, while the sum is 54.

The spelling of 71545448448 in words is "seventy-one billion, five hundred forty-five million, four hundred forty-eight thousand, four hundred forty-eight".