257046073730747 has 24 divisors (see below), whose sum is σ = 301337354633040. Its totient is φ = 218612830625280.

The previous prime is 257046073730729. The next prime is 257046073730759. The reversal of 257046073730747 is 747037370640752.

It is not a de Polignac number, because 257046073730747 - 2³⁰ = 257044999988923 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257046073730747.

It is not an unprimeable number, because it can be changed into a prime (257046043730747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43279379 + ... + 48858947.

It is an arithmetic number, because the mean of its divisors is an integer number (12555723109710).

Almost surely, 2^{257046073730747} is an apocalyptic number.

257046073730747 is a deficient number, since it is larger than the sum of its proper divisors (44291280902293).

257046073730747 is a wasteful number, since it uses less digits than its factorization.

257046073730747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586891 (or 5586884 counting only the distinct ones).

The product of its (nonzero) digits is 145212480, while the sum is 62.

The spelling of 257046073730747 in words is "two hundred fifty-seven trillion, forty-six billion, seventy-three million, seven hundred thirty thousand, seven hundred forty-seven".