4313055516516 has 384 divisors, whose sum is σ = 12136681267200. Its totient is φ = 1321304624640.

The previous prime is 4313055516487. The next prime is 4313055516547. The reversal of 4313055516516 is 6156155503134.

4313055516516 is a `hidden beast` number, since 4 + 3 + 1 + 30 + 5 + 551 + 65 + 1 + 6 = 666.

4313055516516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1467523375 + ... + 1467526313.

It is an arithmetic number, because the mean of its divisors is an integer number (31605940800).

Almost surely, 2^{4313055516516} is an apocalyptic number.

4313055516516 is a gapful number since it is divisible by the number (46) 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 4313055516516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068340633600).

4313055516516 is an abundant number, since it is smaller than the sum of its proper divisors (7823625750684).

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

4313055516516 is a wasteful number, since it uses less digits than its factorization.

4313055516516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 4313055516516 in words is "four trillion, three hundred thirteen billion, fifty-five million, five hundred sixteen thousand, five hundred sixteen".