4560144311016 has 96 divisors (see below), whose sum is σ = 14458994222400. Its totient is φ = 1271120359680.

The previous prime is 4560144311003. The next prime is 4560144311027. The reversal of 4560144311016 is 6101134410654.

4560144311016 is a `hidden beast` number, since 4 + 5 + 601 + 4 + 4 + 31 + 1 + 0 + 16 = 666.

It is a super-2 number, since 2×4560144311016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110319646 + ... + 110360973.

It is an arithmetic number, because the mean of its divisors is an integer number (150614523150).

Almost surely, 2^{4560144311016} is an apocalyptic number.

It is an amenable number.

4560144311016 is an abundant number, since it is smaller than the sum of its proper divisors (9898849911384).

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

4560144311016 is a wasteful number, since it uses less digits than its factorization.

4560144311016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220680679 (or 220680672 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4560144311016 in words is "four trillion, five hundred sixty billion, one hundred forty-four million, three hundred eleven thousand, sixteen".