257003666946 has 48 divisors (see below), whose sum is σ = 607266092160. Its totient is φ = 78077057760.

The previous prime is 257003666929. The next prime is 257003666951. The reversal of 257003666946 is 649666300752.

It is a junction number, because it is equal to n+sod(n) for n = 257003666892 and 257003666901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6932820 + ... + 6969791.

It is an arithmetic number, because the mean of its divisors is an integer number (12651376920).

Almost surely, 2^257003666946 is an apocalyptic number.

257003666946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

257003666946 is an abundant number, since it is smaller than the sum of its proper divisors (350262425214).

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

257003666946 is a wasteful number, since it uses less digits than its factorization.

257003666946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13902711 (or 13902708 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 257003666946 in words is "two hundred fifty-seven billion, three million, six hundred sixty-six thousand, nine hundred forty-six".