49000098000049 has 27 divisors (see below), whose sum is σ = 57575874420513. Its totient is φ = 41580041580000.

The previous prime is 49000098000047. The next prime is 49000098000071. The reversal of 49000098000049 is 94000089000094.

The square root of 49000098000049 is 7000007.

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 41545669121649 + 7454428878400 = 6445593^2 + 2730280^2 .

It is not a de Polignac number, because 49000098000049 - 2¹ = 49000098000047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 49000097999969 and 49000098000014.

It is not an unprimeable number, because it can be changed into a prime (49000098000047) 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, 4948999999 + ... + 4949009899.

Almost surely, 2^{49000098000049} is an apocalyptic number.

49000098000049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

49000098000049 is the 7000007-th square number.

49000098000049 is the 3500004-th centered octagonal number.

It is an amenable number.

49000098000049 is a deficient number, since it is larger than the sum of its proper divisors (8575776420464).

49000098000049 is an frugal number, since it uses more digits than its factorization.

49000098000049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20018 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 49000098000049 in words is "forty-nine trillion, ninety-eight million, forty-nine", and thus it is an aban number and an uban number.