168005136637576 has 512 divisors, whose sum is σ = 420459503616000. Its totient is φ = 61191770112000.

The previous prime is 168005136637529. The next prime is 168005136637589. The reversal of 168005136637576 is 675736631500861.

It is a happy number.

It is a super-2 number, since 2×168005136637576² (a number of 29 digits) contains 22 as substring.

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, 33933573901 + ... + 33933578851.

It is an arithmetic number, because the mean of its divisors is an integer number (821209968000).

Almost surely, 2^{168005136637576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168005136637576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210229751808000).

168005136637576 is an abundant number, since it is smaller than the sum of its proper divisors (252454366978424).

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

168005136637576 is a wasteful number, since it uses less digits than its factorization.

168005136637576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 64.

The spelling of 168005136637576 in words is "one hundred sixty-eight trillion, five billion, one hundred thirty-six million, six hundred thirty-seven thousand, five hundred seventy-six".