257248968414 has 64 divisors (see below), whose sum is σ = 538701735936. Its totient is φ = 81817236864.

The previous prime is 257248968409. The next prime is 257248968421. The reversal of 257248968414 is 414869842752.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3278124 + ... + 3355680.

It is an arithmetic number, because the mean of its divisors is an integer number (8417214624).

Almost surely, 2^257248968414 is an apocalyptic number.

257248968414 is an abundant number, since it is smaller than the sum of its proper divisors (281452767522).

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

257248968414 is a wasteful number, since it uses less digits than its factorization.

257248968414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77889.

The product of its digits is 30965760, while the sum is 60.

The spelling of 257248968414 in words is "two hundred fifty-seven billion, two hundred forty-eight million, nine hundred sixty-eight thousand, four hundred fourteen".