4864086049 has 9 divisors (see below), whose sum is σ = 4921593267. Its totient is φ = 4807245504.

The previous prime is 4864086037. The next prime is 4864086061. The reversal of 4864086049 is 9406804684.

It is a happy number.

The square root of 4864086049 is 69743.

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

It is an interprime number because it is at equal distance from previous prime (4864086037) and next prime (4864086061).

It can be written as a sum of positive squares in only one way, i.e., 2184160225 + 2679925824 = 46735^2 + 51768^2 .

It is not a de Polignac number, because 4864086049 - 2²¹ = 4861988897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4864085993 and 4864086011.

It is not an unprimeable number, because it can be changed into a prime (4864086349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6764712 + ... + 6765430.

Almost surely, 2^4864086049 is an apocalyptic number.

4864086049 is the 69743-rd square number.

4864086049 is the 34872-nd centered octagonal number.

It is an amenable number.

4864086049 is a deficient number, since it is larger than the sum of its proper divisors (57507218).

4864086049 is an frugal number, since it uses more digits than its factorization.

4864086049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The cubic root of 4864086049 is about 1694.3394251009.

Multiplying 4864086049 by its sum of digits (49), we get a square (238340216401 = 488201²).

It can be divided in two parts, 48640 and 86049, that added together give a square (134689 = 367²).

The spelling of 4864086049 in words is "four billion, eight hundred sixty-four million, eighty-six thousand, forty-nine".