4193116105536 has 672 divisors, whose sum is σ = 13479818526720. Its totient is φ = 1240775884800.

The previous prime is 4193116105511. The next prime is 4193116105561. The reversal of 4193116105536 is 6355016113914.

4193116105536 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 1 + 1 + 6 + 105 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (4193116105511) and next prime (4193116105561).

It is a junction number, because it is equal to n+sod(n) for n = 4193116105491 and 4193116105500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1546703221 + ... + 1546705931.

It is an arithmetic number, because the mean of its divisors is an integer number (20059253760).

Almost surely, 2^{4193116105536} 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 4193116105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739909263360).

4193116105536 is an abundant number, since it is smaller than the sum of its proper divisors (9286702421184).

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

4193116105536 is a wasteful number, since it uses less digits than its factorization.

4193116105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 4193116105536 in words is "four trillion, one hundred ninety-three billion, one hundred sixteen million, one hundred five thousand, five hundred thirty-six".