1948277181249 has 27 divisors (see below), whose sum is σ = 3273685060737. Its totient is φ = 1113284496744.

The previous prime is 1948277181247. The next prime is 1948277181269. The reversal of 1948277181249 is 9421817728491.

The square root of 1948277181249 is 1395807.

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

1948277181249 is a `hidden beast` number, since 1 + 9 + 48 + 277 + 1 + 81 + 249 = 666.

It is not a de Polignac number, because 1948277181249 - 2¹ = 1948277181247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1948277181247) 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, 29278714 + ... + 29345180.

Almost surely, 2^{1948277181249} is an apocalyptic number.

1948277181249 is the 1395807-th square number.

1948277181249 is the 697904-th centered octagonal number.

It is an amenable number.

1948277181249 is a deficient number, since it is larger than the sum of its proper divisors (1325407879488).

1948277181249 is an frugal number, since it uses more digits than its factorization.

1948277181249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132954 (or 66477 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 1948277181249 in words is "one trillion, nine hundred forty-eight billion, two hundred seventy-seven million, one hundred eighty-one thousand, two hundred forty-nine".