5408233256448 has 560 divisors, whose sum is σ = 17832241784016. Its totient is φ = 1624216043520.

The previous prime is 5408233256443. The next prime is 5408233256449. The reversal of 5408233256448 is 8446523328045.

5408233256448 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 2 + 3 + 32 + 564 + 48 = 666.

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 = 5408233256394 and 5408233256403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408233256443) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 463941436 + ... + 463953092.

Almost surely, 2^{5408233256448} 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 5408233256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916120892008).

5408233256448 is an abundant number, since it is smaller than the sum of its proper divisors (12424008527568).

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

5408233256448 is a wasteful number, since it uses less digits than its factorization.

5408233256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11817 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 5408233256448 in words is "five trillion, four hundred eight billion, two hundred thirty-three million, two hundred fifty-six thousand, four hundred forty-eight".