168584081160 has 256 divisors, whose sum is σ = 563544760320. Its totient is φ = 39997568000.

The previous prime is 168584081143. The next prime is 168584081233. The reversal of 168584081160 is 61180485861.

168584081160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168584081160² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30149965 + ... + 30155555.

It is an arithmetic number, because the mean of its divisors is an integer number (2201346720).

Almost surely, 2^168584081160 is an apocalyptic number.

168584081160 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 168584081160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281772380160).

168584081160 is an abundant number, since it is smaller than the sum of its proper divisors (394960679160).

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

168584081160 is a wasteful number, since it uses less digits than its factorization.

168584081160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 168584081160 in words is "one hundred sixty-eight billion, five hundred eighty-four million, eighty-one thousand, one hundred sixty".