63118712106 has 256 divisors, whose sum is σ = 159268032000. Its totient is φ = 18428497920.

The previous prime is 63118712099. The next prime is 63118712119. The reversal of 63118712106 is 60121781136.

63118712106 is a `hidden beast` number, since 631 + 1 + 8 + 7 + 1 + 2 + 10 + 6 = 666.

63118712106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63118712106² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

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, 136916716 + ... + 136917176.

It is an arithmetic number, because the mean of its divisors is an integer number (622140750).

Almost surely, 2^63118712106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63118712106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79634016000).

63118712106 is an abundant number, since it is smaller than the sum of its proper divisors (96149319894).

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

63118712106 is a wasteful number, since it uses less digits than its factorization.

63118712106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 63118712106 in words is "sixty-three billion, one hundred eighteen million, seven hundred twelve thousand, one hundred six".