163118670891264 has 675 divisors, whose sum is σ = 535756984319865. Its totient is φ = 49362465208320.

The previous prime is 163118670891233. The next prime is 163118670891269. The reversal of 163118670891264 is 462198076811361.

The square root of 163118670891264 is 12771792.

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

163118670891264 is a `hidden beast` number, since 16 + 31 + 186 + 70 + 8 + 91 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159577529760000 + 3541141131264 = 12632400^2 + 1881792^2 .

It is a super-2 number, since 2×163118670891264² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163118670891269) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 222535703442 + ... + 222535704174.

Almost surely, 2^{163118670891264} is an apocalyptic number.

163118670891264 is the 12771792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163118670891264

163118670891264 is an abundant number, since it is smaller than the sum of its proper divisors (372638313428601).

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

163118670891264 is an frugal number, since it uses more digits than its factorization.

163118670891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 163118670891264 in words is "one hundred sixty-three trillion, one hundred eighteen billion, six hundred seventy million, eight hundred ninety-one thousand, two hundred sixty-four".