168907848256 has 189 divisors, whose sum is σ = 401885992137. Its totient is φ = 70228945920.

The previous prime is 168907848251. The next prime is 168907848257. The reversal of 168907848256 is 652848709861.

It is a happy number.

The square root of 168907848256 is 410984.

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

It can be written as a sum of positive squares in only one way, i.e., 8138926656 + 160768921600 = 90216^2 + 400960^2 .

It is a super-2 number, since 2×168907848256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (168907848251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 943619175 + ... + 943619353.

Almost surely, 2^168907848256 is an apocalyptic number.

168907848256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168907848256 is the 410984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168907848256

168907848256 is an abundant number, since it is smaller than the sum of its proper divisors (232978143881).

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

168907848256 is an frugal number, since it uses more digits than its factorization.

168907848256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

Multiplying 168907848256 by its sum of digits (64), we get a square (10810102288384 = 3287872²).

168907848256 divided by its sum of digits (64) gives a square (2639185129 = 51373²).

The spelling of 168907848256 in words is "one hundred sixty-eight billion, nine hundred seven million, eight hundred forty-eight thousand, two hundred fifty-six".