1948517267449 has 27 divisors (see below), whose sum is σ = 2056537626703. Its totient is φ = 1846018240352.

The previous prime is 1948517267407. The next prime is 1948517267461. The reversal of 1948517267449 is 9447627158491.

The square root of 1948517267449 is 1395893.

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., 1144568324025 + 803948943424 = 1069845^2 + 896632^2 .

It is not a de Polignac number, because 1948517267449 - 2³¹ = 1946369783801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1948517267479) 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, 4398458622 + ... + 4398459064.

Almost surely, 2^{1948517267449} is an apocalyptic number.

1948517267449 is the 1395893-rd square number.

1948517267449 is the 697947-th centered octagonal number.

It is an amenable number.

1948517267449 is a deficient number, since it is larger than the sum of its proper divisors (108020359254).

1948517267449 is an frugal number, since it uses more digits than its factorization.

1948517267449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 603 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 67.

The spelling of 1948517267449 in words is "one trillion, nine hundred forty-eight billion, five hundred seventeen million, two hundred sixty-seven thousand, four hundred forty-nine".