5733441254016 has 288 divisors, whose sum is σ = 19196074497600. Its totient is φ = 1637797045248.

The previous prime is 5733441253997. The next prime is 5733441254071. The reversal of 5733441254016 is 6104521443375.

5733441254016 is a `hidden beast` number, since 5 + 73 + 34 + 4 + 1 + 2 + 540 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5733441254016² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486745215 + ... + 486756993.

It is an arithmetic number, because the mean of its divisors is an integer number (66653036450).

Almost surely, 2^{5733441254016} is an apocalyptic number.

5733441254016 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 5733441254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598037248800).

5733441254016 is an abundant number, since it is smaller than the sum of its proper divisors (13462633243584).

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

5733441254016 is a wasteful number, since it uses less digits than its factorization.

5733441254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20436 (or 20414 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5733441254016 in words is "five trillion, seven hundred thirty-three billion, four hundred forty-one million, two hundred fifty-four thousand, sixteen".