5424131115648 has 512 divisors, whose sum is σ = 18511110144000. Its totient is φ = 1531599777792.

The previous prime is 5424131115647. The next prime is 5424131115659. The reversal of 5424131115648 is 8465111314245.

5424131115648 is a `hidden beast` number, since 5 + 4 + 2 + 41 + 31 + 11 + 564 + 8 = 666.

It is a super-3 number, since 3×5424131115648³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5424131115643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826468015 + ... + 826474577.

It is an arithmetic number, because the mean of its divisors is an integer number (36154512000).

Almost surely, 2^{5424131115648} 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 5424131115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255555072000).

5424131115648 is an abundant number, since it is smaller than the sum of its proper divisors (13086979028352).

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

5424131115648 is a wasteful number, since it uses less digits than its factorization.

5424131115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6971 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

It can be divided in two parts, 54241 and 31115648, that added together give a square (31169889 = 5583²).

The spelling of 5424131115648 in words is "five trillion, four hundred twenty-four billion, one hundred thirty-one million, one hundred fifteen thousand, six hundred forty-eight".