168814863360 has 1584 divisors, whose sum is σ = 738488460528. Its totient is φ = 35295068160.

The previous prime is 168814863311. The next prime is 168814863361. The reversal of 168814863360 is 63368418861.

168814863360 is a `hidden beast` number, since 1 + 6 + 88 + 148 + 63 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 937829376 + 167877033984 = 30624^2 + 409728^2 .

It is a tau number, because it is divible by the number of its divisors (1584).

It is a junction number, because it is equal to n+sod(n) for n = 168814863297 and 168814863306.

It is not an unprimeable number, because it can be changed into a prime (168814863361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1232225212 + ... + 1232225348.

Almost surely, 2^168814863360 is an apocalyptic number.

168814863360 is a gapful number since it is divisible by the number (10) 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 168814863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369244230264).

168814863360 is an abundant number, since it is smaller than the sum of its proper divisors (569673597168).

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

168814863360 is a wasteful number, since it uses less digits than its factorization.

168814863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 168814863360 in words is "one hundred sixty-eight billion, eight hundred fourteen million, eight hundred sixty-three thousand, three hundred sixty".