657052283168 has 54 divisors (see below), whose sum is σ = 1374303205611. Its totient is φ = 309164391424.

The previous prime is 657052283141. The next prime is 657052283231. The reversal of 657052283168 is 861382250756.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 282033220624 + 375019062544 = 531068^2 + 612388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=573172.

It is a super-2 number, since 2×657052283168² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77947178 + ... + 77955606.

Almost surely, 2^657052283168 is an apocalyptic number.

657052283168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657052283168

657052283168 is an abundant number, since it is smaller than the sum of its proper divisors (717250922443).

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

657052283168 is an frugal number, since it uses more digits than its factorization.

657052283168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16902 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 657052283168 in words is "six hundred fifty-seven billion, fifty-two million, two hundred eighty-three thousand, one hundred sixty-eight".