4115816567775 has 144 divisors (see below), whose sum is σ = 8486010074880. Its totient is φ = 1887335155200.

The previous prime is 4115816567719. The next prime is 4115816567783. The reversal of 4115816567775 is 5777656185114.

4115816567775 is a `hidden beast` number, since 4 + 1 + 1 + 58 + 16 + 567 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 4115816567775 - 2¹⁴ = 4115816551391 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4660132 + ... + 5472518.

It is an arithmetic number, because the mean of its divisors is an integer number (58930625520).

Almost surely, 2^{4115816567775} is an apocalyptic number.

4115816567775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4115816567775 is an abundant number, since it is smaller than the sum of its proper divisors (4370193507105).

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

4115816567775 is a wasteful number, since it uses less digits than its factorization.

4115816567775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812526 (or 812518 counting only the distinct ones).

The product of its digits is 49392000, while the sum is 63.

The spelling of 4115816567775 in words is "four trillion, one hundred fifteen billion, eight hundred sixteen million, five hundred sixty-seven thousand, seven hundred seventy-five".