1106417860767 has 24 divisors (see below), whose sum is σ = 1602862211808. Its totient is φ = 735444153600.

The previous prime is 1106417860747. The next prime is 1106417860777. The reversal of 1106417860767 is 7670687146011.

It is a happy number.

1106417860767 is a `hidden beast` number, since 1 + 10 + 6 + 4 + 17 + 8 + 607 + 6 + 7 = 666.

It is not a de Polignac number, because 1106417860767 - 2⁸ = 1106417860511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106417860747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4489267 + ... + 4729307.

It is an arithmetic number, because the mean of its divisors is an integer number (66785925492).

Almost surely, 2^{1106417860767} is an apocalyptic number.

1106417860767 is a deficient number, since it is larger than the sum of its proper divisors (496444351041).

1106417860767 is a wasteful number, since it uses less digits than its factorization.

1106417860767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241551 (or 241548 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1106417860767 in words is "one trillion, one hundred six billion, four hundred seventeen million, eight hundred sixty thousand, seven hundred sixty-seven".