1248692267601 has 21 divisors (see below), whose sum is σ = 1872227196601. Its totient is φ = 832441397652.

The previous prime is 1248692267551. The next prime is 1248692267621. The reversal of 1248692267601 is 1067622968421.

The square root of 1248692267601 is 1117449.

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

1248692267601 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 6 + 9 + 2 + 26 + 7 + 601 = 666.

It is not a de Polignac number, because 1248692267601 - 2¹⁵ = 1248692234833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1248692267621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 30150430 + ... + 30191816.

Almost surely, 2^{1248692267601} is an apocalyptic number.

1248692267601 is the 1117449-th square number.

1248692267601 is the 558725-th centered octagonal number.

It is an amenable number.

1248692267601 is a deficient number, since it is larger than the sum of its proper divisors (623534929000).

1248692267601 is an frugal number, since it uses more digits than its factorization.

1248692267601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82792 (or 41390 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1248692267601 in words is "one trillion, two hundred forty-eight billion, six hundred ninety-two million, two hundred sixty-seven thousand, six hundred one".