249891093361 has 16 divisors (see below), whose sum is σ = 312600214528. Its totient is φ = 194474779200.

The previous prime is 249891093349. The next prime is 249891093373. The reversal of 249891093361 is 163390198942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (249891093349) and next prime (249891093373).

It is not a de Polignac number, because 249891093361 - 2⁹ = 249891092849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249891093311) 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 15 ways as a sum of consecutive naturals, for example, 22503105 + ... + 22514206.

It is an arithmetic number, because the mean of its divisors is an integer number (19537513408).

Almost surely, 2^249891093361 is an apocalyptic number.

It is an amenable number.

249891093361 is a deficient number, since it is larger than the sum of its proper divisors (62709121167).

249891093361 is a wasteful number, since it uses less digits than its factorization.

249891093361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45017392.

The product of its (nonzero) digits is 2519424, while the sum is 55.

The spelling of 249891093361 in words is "two hundred forty-nine billion, eight hundred ninety-one million, ninety-three thousand, three hundred sixty-one".