168311466840 has 512 divisors, whose sum is σ = 596263680000. Its totient is φ = 37554585600.

The previous prime is 168311466839. The next prime is 168311466901. The reversal of 168311466840 is 48664113861.

It is a happy number.

It is a super-3 number, since 3×168311466840³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168311466840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 237392406 + ... + 237393114.

It is an arithmetic number, because the mean of its divisors is an integer number (1164577500).

Almost surely, 2^168311466840 is an apocalyptic number.

168311466840 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 168311466840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298131840000).

168311466840 is an abundant number, since it is smaller than the sum of its proper divisors (427952213160).

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

168311466840 is a wasteful number, since it uses less digits than its factorization.

168311466840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 168311466840 in words is "one hundred sixty-eight billion, three hundred eleven million, four hundred sixty-six thousand, eight hundred forty".