257429021323338 has 24 divisors (see below), whose sum is σ = 559196717285700. Its totient is φ = 85589083351104.

The previous prime is 257429021323291. The next prime is 257429021323387. The reversal of 257429021323338 is 833323120924752.

257429021323338 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 2 + 90 + 213 + 2 + 3 + 338 = 666.

257429021323338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 255832571384289 + 1596449939049 = 15994767^2 + 1263507^2 .

It is a super-2 number, since 2×257429021323338² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18382528083 + ... + 18382542086.

Almost surely, 2^{257429021323338} is an apocalyptic number.

257429021323338 is an abundant number, since it is smaller than the sum of its proper divisors (301767695962362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257429021323338 is a wasteful number, since it uses less digits than its factorization.

257429021323338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36765070566 (or 36765070563 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 257429021323338 in words is "two hundred fifty-seven trillion, four hundred twenty-nine billion, twenty-one million, three hundred twenty-three thousand, three hundred thirty-eight".