657403126416 has 45 divisors (see below), whose sum is σ = 1839842923971. Its totient is φ = 219131132256.

The previous prime is 657403126411. The next prime is 657403126417. The reversal of 657403126416 is 614621304756.

The square root of 657403126416 is 810804.

It is a perfect power (a square), and thus also a powerful number.

657403126416 is a `hidden beast` number, since 6 + 574 + 0 + 3 + 1 + 2 + 64 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (657403126411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9695865 + ... + 9763431.

Almost surely, 2^657403126416 is an apocalyptic number.

657403126416 is the 810804-th square number.

It is an amenable number.

657403126416 is an abundant number, since it is smaller than the sum of its proper divisors (1182439797555).

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

657403126416 is an frugal number, since it uses more digits than its factorization.

657403126416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135148 (or 67572 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 657403126416 in words is "six hundred fifty-seven billion, four hundred three million, one hundred twenty-six thousand, four hundred sixteen".