1948092939081 has 81 divisors (see below), whose sum is σ = 2974156236597. Its totient is φ = 1228698717120.

The previous prime is 1948092939047. The next prime is 1948092939109. The reversal of 1948092939081 is 1809392908491.

The square root of 1948092939081 is 1395741.

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

1948092939081 is a `hidden beast` number, since 1 + 9 + 4 + 80 + 92 + 9 + 390 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 584522940681 + 1363569998400 = 764541^2 + 1167720^2 .

It is not a de Polignac number, because 1948092939081 - 2¹⁷ = 1948092808009 is a prime.

It is a super-2 number, since 2×1948092939081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948092938081) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7407197356 + ... + 7407197618.

Almost surely, 2^{1948092939081} is an apocalyptic number.

1948092939081 is the 1395741-st square number.

1948092939081 is the 697871-st centered octagonal number.

It is an amenable number.

1948092939081 is a deficient number, since it is larger than the sum of its proper divisors (1026063297516).

1948092939081 is an frugal number, since it uses more digits than its factorization.

1948092939081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 1948092939081 in words is "one trillion, nine hundred forty-eight billion, ninety-two million, nine hundred thirty-nine thousand, eighty-one".