5464848584448 has 864 divisors, whose sum is σ = 18487675852800. Its totient is φ = 1589372928000.

The previous prime is 5464848584407. The next prime is 5464848584519. The reversal of 5464848584448 is 8444858484645.

5464848584448 is a `hidden beast` number, since 5 + 4 + 64 + 8 + 48 + 5 + 84 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3396424668 + ... + 3396426276.

Almost surely, 2^{5464848584448} 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 5464848584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243837926400).

5464848584448 is an abundant number, since it is smaller than the sum of its proper divisors (13022827268352).

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

5464848584448 is a wasteful number, since it uses less digits than its factorization.

5464848584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1787 counting only the distinct ones).

The product of its digits is 2516582400, while the sum is 72.

The spelling of 5464848584448 in words is "five trillion, four hundred sixty-four billion, eight hundred forty-eight million, five hundred eighty-four thousand, four hundred forty-eight".