84415234849 has 27 divisors (see below), whose sum is σ = 94551390297. Its totient is φ = 75308745600.

The previous prime is 84415234837. The next prime is 84415234873. The reversal of 84415234849 is 94843251448.

The square root of 84415234849 is 290543.

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 63370510225 + 21044724624 = 251735^2 + 145068^2 .

It is not a de Polignac number, because 84415234849 - 2⁷ = 84415234721 is a prime.

It is a super-2 number, since 2×84415234849² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84415234796 and 84415234805.

It is not an unprimeable number, because it can be changed into a prime (84415234819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194954137 + ... + 194954569.

Almost surely, 2^84415234849 is an apocalyptic number.

84415234849 is the 290543-rd square number.

84415234849 is the 145272-nd centered octagonal number.

It is an amenable number.

84415234849 is a deficient number, since it is larger than the sum of its proper divisors (10136155448).

84415234849 is an frugal number, since it uses more digits than its factorization.

84415234849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 52.

The spelling of 84415234849 in words is "eighty-four billion, four hundred fifteen million, two hundred thirty-four thousand, eight hundred forty-nine".