625616103168 has 288 divisors, whose sum is σ = 2115647923200. Its totient is φ = 178637819904.

The previous prime is 625616103121. The next prime is 625616103187. The reversal of 625616103168 is 861301616526.

625616103168 is a `hidden beast` number, since 6 + 2 + 5 + 616 + 10 + 3 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×625616103168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110941693 + ... + 110947331.

Almost surely, 2^625616103168 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 625616103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057823961600).

625616103168 is an abundant number, since it is smaller than the sum of its proper divisors (1490031820032).

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

625616103168 is a wasteful number, since it uses less digits than its factorization.

625616103168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 625616103168 in words is "six hundred twenty-five billion, six hundred sixteen million, one hundred three thousand, one hundred sixty-eight".