657684668101231 has 8 divisors (see below), whose sum is σ = 662416832263760. Its totient is φ = 652952512793088.

The previous prime is 657684668101199. The next prime is 657684668101259. The reversal of 657684668101231 is 132101866486756.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 657684668101231 - 2⁵ = 657684668101199 is a prime.

It is a super-3 number, since 3×657684668101231³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657684668101271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249368725 + ... + 251992321.

It is an arithmetic number, because the mean of its divisors is an integer number (82802104032970).

Almost surely, 2^{657684668101231} is an apocalyptic number.

657684668101231 is a deficient number, since it is larger than the sum of its proper divisors (4732164162529).

657684668101231 is a wasteful number, since it uses less digits than its factorization.

657684668101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427193.

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 657684668101231 in words is "six hundred fifty-seven trillion, six hundred eighty-four billion, six hundred sixty-eight million, one hundred one thousand, two hundred thirty-one".