168627053979904 has 243 divisors, whose sum is σ = 367819483015803. Its totient is φ = 77121036275712.

The previous prime is 168627053979899. The next prime is 168627053979907. The reversal of 168627053979904 is 409979350726861.

The square root of 168627053979904 is 12985648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91263630240000 + 77363423739904 = 9553200^2 + 8795648^2 .

It is not an unprimeable number, because it can be changed into a prime (168627053979907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 402451202607 + ... + 402451203025.

It is a 1-persistent number, because it is pandigital, but 2⋅168627053979904 = 337254107959808 is not.

Almost surely, 2^{168627053979904} is an apocalyptic number.

168627053979904 is the 12985648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168627053979904

168627053979904 is an abundant number, since it is smaller than the sum of its proper divisors (199192429035899).

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

168627053979904 is an frugal number, since it uses more digits than its factorization.

168627053979904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 76.

The spelling of 168627053979904 in words is "one hundred sixty-eight trillion, six hundred twenty-seven billion, fifty-three million, nine hundred seventy-nine thousand, nine hundred four".