4165478778753 has 12 divisors (see below), whose sum is σ = 6019087865700. Its totient is φ = 2775931151616.

The previous prime is 4165478778751. The next prime is 4165478778763. The reversal of 4165478778753 is 3578778745614.

4165478778753 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 478 + 77 + 87 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 298545310449 + 3866933468304 = 546393^2 + 1966452^2 .

It is not a de Polignac number, because 4165478778753 - 2¹ = 4165478778751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4165478778751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87866728 + ... + 87914121.

It is an arithmetic number, because the mean of its divisors is an integer number (501590655475).

Almost surely, 2^{4165478778753} is an apocalyptic number.

It is an amenable number.

4165478778753 is a deficient number, since it is larger than the sum of its proper divisors (1853609086947).

4165478778753 is a wasteful number, since it uses less digits than its factorization.

4165478778753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175783488 (or 175783485 counting only the distinct ones).

The product of its digits is 1106380800, while the sum is 72.

The spelling of 4165478778753 in words is "four trillion, one hundred sixty-five billion, four hundred seventy-eight million, seven hundred seventy-eight thousand, seven hundred fifty-three".