516164311168 has 64 divisors (see below), whose sum is σ = 1123289622720. Its totient is φ = 234303892480.

The previous prime is 516164311153. The next prime is 516164311183. The reversal of 516164311168 is 861113461615.

It is an interprime number because it is at equal distance from previous prime (516164311153) and next prime (516164311183).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×516164311168² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799446 + ... + 1292842.

It is an arithmetic number, because the mean of its divisors is an integer number (17551400355).

Almost surely, 2^516164311168 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 516164311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561644811360).

516164311168 is an abundant number, since it is smaller than the sum of its proper divisors (607125311552).

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

516164311168 is a wasteful number, since it uses less digits than its factorization.

516164311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494165 (or 494153 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The spelling of 516164311168 in words is "five hundred sixteen billion, one hundred sixty-four million, three hundred eleven thousand, one hundred sixty-eight".