168846535421760 has 1344 divisors, whose sum is σ = 667531955865600. Its totient is φ = 35322379223040.

The previous prime is 168846535421719. The next prime is 168846535421807. The reversal of 168846535421760 is 67124535648861.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 168846535421691 and 168846535421700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134111624011 + ... + 134111625269.

It is an arithmetic number, because the mean of its divisors is an integer number (496675562400).

Almost surely, 2^{168846535421760} is an apocalyptic number.

168846535421760 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 168846535421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333765977932800).

168846535421760 is an abundant number, since it is smaller than the sum of its proper divisors (498685420443840).

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

168846535421760 is a wasteful number, since it uses less digits than its factorization.

168846535421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 168846535421760 in words is "one hundred sixty-eight trillion, eight hundred forty-six billion, five hundred thirty-five million, four hundred twenty-one thousand, seven hundred sixty".