168004893456 has 45 divisors (see below), whose sum is σ = 470194127221. Its totient is φ = 55999991616.

The previous prime is 168004893403. The next prime is 168004893457. The reversal of 168004893456 is 654398400861.

The square root of 168004893456 is 409884.

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

168004893456 is a `hidden beast` number, since 1 + 6 + 80 + 0 + 489 + 34 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128952810000 + 39052083456 = 359100^2 + 197616^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168004893457) 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, 4901530 + ... + 4935686.

Almost surely, 2^168004893456 is an apocalyptic number.

168004893456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168004893456 is the 409884-th square number.

It is an amenable number.

168004893456 is an abundant number, since it is smaller than the sum of its proper divisors (302189233765).

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

168004893456 is an frugal number, since it uses more digits than its factorization.

168004893456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68328 (or 34162 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 168004893456 in words is "one hundred sixty-eight billion, four million, eight hundred ninety-three thousand, four hundred fifty-six".