5735318456 has 128 divisors (see below), whose sum is σ = 13341404160. Its totient is φ = 2258150400.

The previous prime is 5735318453. The next prime is 5735318461. The reversal of 5735318456 is 6548135375.

It is a self number, because there is not a number n which added to its sum of digits gives 5735318456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735318453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537326 + ... + 3538946.

It is an arithmetic number, because the mean of its divisors is an integer number (104229720).

Almost surely, 2^5735318456 is an apocalyptic number.

5735318456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5735318456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670702080).

5735318456 is an abundant number, since it is smaller than the sum of its proper divisors (7606085704).

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

5735318456 is a wasteful number, since it uses less digits than its factorization.

5735318456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1761 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 47.

The square root of 5735318456 is about 75731.8853324014. The cubic root of 5735318456 is about 1789.9978627358.

The spelling of 5735318456 in words is "five billion, seven hundred thirty-five million, three hundred eighteen thousand, four hundred fifty-six".