383248903041 has 27 divisors (see below), whose sum is σ = 566873261409. Its totient is φ = 249505423272.

The previous prime is 383248903033. The next prime is 383248903049. The reversal of 383248903041 is 140309842383.

The square root of 383248903041 is 619071.

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

It is an interprime number because it is at equal distance from previous prime (383248903033) and next prime (383248903049).

It is not a de Polignac number, because 383248903041 - 2³ = 383248903033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (383248903049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79857760 + ... + 79862558.

Almost surely, 2^383248903041 is an apocalyptic number.

383248903041 is the 619071-st square number.

383248903041 is the 309536-th centered octagonal number.

It is an amenable number.

383248903041 is a deficient number, since it is larger than the sum of its proper divisors (183624358368).

383248903041 is an frugal number, since it uses more digits than its factorization.

383248903041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 383248903041 in words is "three hundred eighty-three billion, two hundred forty-eight million, nine hundred three thousand, forty-one".