5456340046160 has 160 divisors (see below), whose sum is σ = 13292783493120. Its totient is φ = 2078943128064.

The previous prime is 5456340046153. The next prime is 5456340046249. The reversal of 5456340046160 is 616400436545.

It is a Cunningham number, because it is equal to 2335881²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322106017 + ... + 1322110143.

It is an arithmetic number, because the mean of its divisors is an integer number (83079896832).

Almost surely, 2^{5456340046160} 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 5456340046160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646391746560).

5456340046160 is an abundant number, since it is smaller than the sum of its proper divisors (7836443446960).

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

5456340046160 is a wasteful number, since it uses less digits than its factorization.

5456340046160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 5456340046160 in words is "five trillion, four hundred fifty-six billion, three hundred forty million, forty-six thousand, one hundred sixty".