5648195448 has 320 divisors, whose sum is σ = 18634968000. Its totient is φ = 1565153280.

The previous prime is 5648195407. The next prime is 5648195453. The reversal of 5648195448 is 8445918465.

5648195448 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 195 + 448 = 666.

It is a super-2 number, since 2×5648195448² = 63804223637615841408, which 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 = 5648195394 and 5648195403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37907278 + ... + 37907426.

It is an arithmetic number, because the mean of its divisors is an integer number (58234275).

Almost surely, 2^5648195448 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 5648195448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9317484000).

5648195448 is an abundant number, since it is smaller than the sum of its proper divisors (12986772552).

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

5648195448 is a wasteful number, since it uses less digits than its factorization.

5648195448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 5648195448 is about 75154.4772318988. The cubic root of 5648195448 is about 1780.8878548428.

The spelling of 5648195448 in words is "five billion, six hundred forty-eight million, one hundred ninety-five thousand, four hundred forty-eight".