168114463200 has 360 divisors, whose sum is σ = 632865119040. Its totient is φ = 43383859200.

The previous prime is 168114463189. The next prime is 168114463243. The reversal of 168114463200 is 2364411861.

168114463200 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 1 + 446 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1966956 + ... + 2050644.

It is an arithmetic number, because the mean of its divisors is an integer number (1757958664).

Almost surely, 2^168114463200 is an apocalyptic number.

168114463200 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 168114463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316432559520).

168114463200 is an abundant number, since it is smaller than the sum of its proper divisors (464750655840).

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

168114463200 is a wasteful number, since it uses less digits than its factorization.

168114463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83752 (or 83730 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 168114463200 in words is "one hundred sixty-eight billion, one hundred fourteen million, four hundred sixty-three thousand, two hundred".