168087439922976 has 480 divisors, whose sum is σ = 576406563118848. Its totient is φ = 47057995560960.

The previous prime is 168087439922933. The next prime is 168087439922999. The reversal of 168087439922976 is 679229934780861.

168087439922976 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 8 + 7 + 439 + 92 + 2 + 97 + 6 = 666.

168087439922976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 168087439922895 and 168087439922904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290795466 + ... + 291372918.

Almost surely, 2^{168087439922976} is an apocalyptic number.

168087439922976 is a gapful number since it is divisible by the number (16) 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 168087439922976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288203281559424).

168087439922976 is an abundant number, since it is smaller than the sum of its proper divisors (408319123195872).

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

168087439922976 is a wasteful number, since it uses less digits than its factorization.

168087439922976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577806 (or 577789 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 168087439922976 in words is "one hundred sixty-eight trillion, eighty-seven billion, four hundred thirty-nine million, nine hundred twenty-two thousand, nine hundred seventy-six".