4113485717929 has 81 divisors (see below), whose sum is σ = 5056472032677. Its totient is φ = 3336458162688.

The previous prime is 4113485717923. The next prime is 4113485717933. The reversal of 4113485717929 is 9297175843114.

It is a happy number.

The square root of 4113485717929 is 2028173.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2924105625 + 4110561612304 = 54075^2 + 2027452^2 .

It is not a de Polignac number, because 4113485717929 - 2⁵ = 4113485717897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4113485717923) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39936754492 + ... + 39936754594.

Almost surely, 2^{4113485717929} is an apocalyptic number.

4113485717929 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4113485717929 is the 2028173-rd square number.

4113485717929 is the 1014087-th centered octagonal number.

It is an amenable number.

4113485717929 is a deficient number, since it is larger than the sum of its proper divisors (942986314748).

4113485717929 is an frugal number, since it uses more digits than its factorization.

4113485717929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 61.

The spelling of 4113485717929 in words is "four trillion, one hundred thirteen billion, four hundred eighty-five million, seven hundred seventeen thousand, nine hundred twenty-nine".