168008250528 has 144 divisors (see below), whose sum is σ = 494928743400. Its totient is φ = 54022594560.

The previous prime is 168008250491. The next prime is 168008250541. The reversal of 168008250528 is 825052800861.

168008250528 is a `hidden beast` number, since 1 + 68 + 0 + 0 + 82 + 505 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113873852304 + 54134398224 = 337452^2 + 232668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970978 + ... + 1130846.

Almost surely, 2^168008250528 is an apocalyptic number.

168008250528 is a gapful number since it is divisible by the number (18) 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 168008250528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247464371700).

168008250528 is an abundant number, since it is smaller than the sum of its proper divisors (326920492872).

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

168008250528 is a wasteful number, since it uses less digits than its factorization.

168008250528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160015 (or 160004 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 168008250528 in words is "one hundred sixty-eight billion, eight million, two hundred fifty thousand, five hundred twenty-eight".