4149249817167 has 48 divisors (see below), whose sum is σ = 7452490077760. Its totient is φ = 2166052202496.

The previous prime is 4149249817093. The next prime is 4149249817171. The reversal of 4149249817167 is 7617189429414.

4149249817167 is a `hidden beast` number, since 4 + 1 + 492 + 4 + 9 + 81 + 7 + 1 + 67 = 666.

It is not a de Polignac number, because 4149249817167 - 2⁸ = 4149249816911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149249817177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26035192 + ... + 26194077.

Almost surely, 2^{4149249817167} is an apocalyptic number.

4149249817167 is a deficient number, since it is larger than the sum of its proper divisors (3303240260593).

4149249817167 is a wasteful number, since it uses less digits than its factorization.

4149249817167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52229392 (or 52229389 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 4149249817167 in words is "four trillion, one hundred forty-nine billion, two hundred forty-nine million, eight hundred seventeen thousand, one hundred sixty-seven".