4948137649 has 27 divisors (see below), whose sum is σ = 6240898593. Its totient is φ = 3909945312.

The previous prime is 4948137647. The next prime is 4948137653. The reversal of 4948137649 is 9467318494.

The square root of 4948137649 is 70343.

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 3136784049 + 1811353600 = 56007^2 + 42560^2 .

It is not a de Polignac number, because 4948137649 - 2¹ = 4948137647 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4948137649.

It is not an unprimeable number, because it can be changed into a prime (4948137647) 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, 6400827 + ... + 6401599.

Almost surely, 2^4948137649 is an apocalyptic number.

4948137649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4948137649 is the 70343-rd square number.

4948137649 is the 35172-nd centered octagonal number.

It is an amenable number.

4948137649 is a deficient number, since it is larger than the sum of its proper divisors (1292760944).

4948137649 is an frugal number, since it uses more digits than its factorization.

4948137649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The cubic root of 4948137649 is about 1704.0431617538.

The spelling of 4948137649 in words is "four billion, nine hundred forty-eight million, one hundred thirty-seven thousand, six hundred forty-nine".