248827762778397 has 24 divisors (see below), whose sum is σ = 371553821386272. Its totient is φ = 147959332915680.

The previous prime is 248827762778363. The next prime is 248827762778407. The reversal of 248827762778397 is 793877267728842.

It is not a de Polignac number, because 248827762778397 - 2¹¹ = 248827762776349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248827762778347) 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 23 ways as a sum of consecutive naturals, for example, 6466734823 + ... + 6466773300.

It is an arithmetic number, because the mean of its divisors is an integer number (15481409224428).

Almost surely, 2^{248827762778397} is an apocalyptic number.

It is an amenable number.

248827762778397 is a deficient number, since it is larger than the sum of its proper divisors (122726058607875).

248827762778397 is a wasteful number, since it uses less digits than its factorization.

248827762778397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933508201 (or 12933508190 counting only the distinct ones).

The product of its digits is 44609273856, while the sum is 87.

The spelling of 248827762778397 in words is "two hundred forty-eight trillion, eight hundred twenty-seven billion, seven hundred sixty-two million, seven hundred seventy-eight thousand, three hundred ninety-seven".