8485120403929 has 9 divisors (see below), whose sum is σ = 9188070791679. Its totient is φ = 7832383879320.

The previous prime is 8485120403843. The next prime is 8485120403957. The reversal of 8485120403929 is 9293040215848.

It is a happy number.

The square root of 8485120403929 is 2912923.

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

It can be written as a sum of positive squares in only one way, i.e., 1255195326025 + 7229925077904 = 1120355^2 + 2688852^2 .

It is not a de Polignac number, because 8485120403929 - 2¹⁷ = 8485120272857 is a prime.

It is a super-2 number, since 2×8485120403929² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8485120403929.

It is not an unprimeable number, because it can be changed into a prime (8485121403929) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37755964 + ... + 37980034.

It is an arithmetic number, because the mean of its divisors is an integer number (1020896754631).

Almost surely, 2^{8485120403929} is an apocalyptic number.

8485120403929 is the 2912923-rd square number.

8485120403929 is the 1456462-nd centered octagonal number.

It is an amenable number.

8485120403929 is a deficient number, since it is larger than the sum of its proper divisors (702950387750).

8485120403929 is an frugal number, since it uses more digits than its factorization.

8485120403929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448168 (or 224084 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 8485120403929 in words is "eight trillion, four hundred eighty-five billion, one hundred twenty million, four hundred three thousand, nine hundred twenty-nine".