4115317854816 has 192 divisors, whose sum is σ = 13718808552960. Its totient is φ = 1175712330240.

The previous prime is 4115317854799. The next prime is 4115317854863. The reversal of 4115317854816 is 6184587135114.

4115317854816 is a `hidden beast` number, since 4 + 1 + 15 + 3 + 1 + 78 + 548 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 124009746 + ... + 124042926.

It is an arithmetic number, because the mean of its divisors is an integer number (71452127880).

Almost surely, 2^{4115317854816} is an apocalyptic number.

It is an amenable number.

4115317854816 is an abundant number, since it is smaller than the sum of its proper divisors (9603490698144).

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

4115317854816 is a wasteful number, since it uses less digits than its factorization.

4115317854816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53714 (or 53700 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 4115317854816 in words is "four trillion, one hundred fifteen billion, three hundred seventeen million, eight hundred fifty-four thousand, eight hundred sixteen".