5645614258728 has 96 divisors (see below), whose sum is σ = 15552380525760. Its totient is φ = 1849726644480.

The previous prime is 5645614258723. The next prime is 5645614258729. The reversal of 5645614258728 is 8278524165465.

It is a happy number.

5645614258728 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 1 + 42 + 587 + 2 + 8 = 666.

It is a super-3 number, since 3×5645614258728³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5645614258723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924133 + ... + 3485003.

It is an arithmetic number, because the mean of its divisors is an integer number (162003963810).

Almost surely, 2^{5645614258728} 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 5645614258728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776190262880).

5645614258728 is an abundant number, since it is smaller than the sum of its proper divisors (9906766267032).

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

5645614258728 is a wasteful number, since it uses less digits than its factorization.

5645614258728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561407 (or 2561400 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 5645614258728 in words is "five trillion, six hundred forty-five billion, six hundred fourteen million, two hundred fifty-eight thousand, seven hundred twenty-eight".