257834201823 has 48 divisors (see below), whose sum is σ = 413758590336. Its totient is φ = 153404349120.

The previous prime is 257834201813. The next prime is 257834201839. The reversal of 257834201823 is 328102438752.

257834201823 is a `hidden beast` number, since 2 + 578 + 3 + 42 + 0 + 18 + 23 = 666.

It is not a de Polignac number, because 257834201823 - 2⁹ = 257834201311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257834201813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877136 + ... + 2009802.

It is an arithmetic number, because the mean of its divisors is an integer number (8619970632).

Almost surely, 2^257834201823 is an apocalyptic number.

257834201823 is a deficient number, since it is larger than the sum of its proper divisors (155924388513).

257834201823 is a wasteful number, since it uses less digits than its factorization.

257834201823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133044 (or 133041 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 257834201823 in words is "two hundred fifty-seven billion, eight hundred thirty-four million, two hundred one thousand, eight hundred twenty-three".