5456360448 has 528 divisors, whose sum is σ = 20386154880. Its totient is φ = 1411153920.

The previous prime is 5456360447. The next prime is 5456360453. The reversal of 5456360448 is 8440636545.

5456360448 is a `hidden beast` number, since 5 + 4 + 5 + 636 + 0 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456360447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417740 + ... + 23417972.

Almost surely, 2^5456360448 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 5456360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193077440).

5456360448 is an abundant number, since it is smaller than the sum of its proper divisors (14929794432).

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

5456360448 is a wasteful number, since it uses less digits than its factorization.

5456360448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 5456360448 is about 73867.1811293757. The cubic root of 5456360448 is about 1760.4931951151.

The spelling of 5456360448 in words is "five billion, four hundred fifty-six million, three hundred sixty thousand, four hundred forty-eight".