47861102102688 has 576 divisors, whose sum is σ = 157686328800000. Its totient is φ = 13488233840640.

The previous prime is 47861102102563. The next prime is 47861102102731. The reversal of 47861102102688 is 88620120116874.

47861102102688 is a `hidden beast` number, since 4 + 7 + 8 + 611 + 0 + 2 + 10 + 2 + 6 + 8 + 8 = 666.

47861102102688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38319536688 + ... + 38319537936.

It is an arithmetic number, because the mean of its divisors is an integer number (273760987500).

Almost surely, 2^{47861102102688} is an apocalyptic number.

47861102102688 is a gapful number since it is divisible by the number (48) 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 47861102102688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78843164400000).

47861102102688 is an abundant number, since it is smaller than the sum of its proper divisors (109825226697312).

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

47861102102688 is a wasteful number, since it uses less digits than its factorization.

47861102102688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 47861102102688 in words is "forty-seven trillion, eight hundred sixty-one billion, one hundred two million, one hundred two thousand, six hundred eighty-eight".