257675954445 has 384 divisors, whose sum is σ = 606625044480. Its totient is φ = 98099527680.

The previous prime is 257675954423. The next prime is 257675954477. The reversal of 257675954445 is 544459576752.

It is a happy number.

257675954445 is a `hidden beast` number, since 2 + 5 + 76 + 75 + 9 + 54 + 445 = 666.

It is not a de Polignac number, because 257675954445 - 2⁶ = 257675954381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 182877901 + ... + 182879309.

It is an arithmetic number, because the mean of its divisors is an integer number (1579752720).

Almost surely, 2^257675954445 is an apocalyptic number.

It is an amenable number.

257675954445 is an abundant number, since it is smaller than the sum of its proper divisors (348949090035).

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

257675954445 is a wasteful number, since it uses less digits than its factorization.

257675954445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

The product of its digits is 211680000, while the sum is 63.

The spelling of 257675954445 in words is "two hundred fifty-seven billion, six hundred seventy-five million, nine hundred fifty-four thousand, four hundred forty-five".