215048868041568 has 768 divisors, whose sum is σ = 682112212992000. Its totient is φ = 58556913592320.

The previous prime is 215048868041503. The next prime is 215048868041597. The reversal of 215048868041568 is 865140868840512.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 215048868041499 and 215048868041508.

It is a congruent 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, 34140156883 + ... + 34140163181.

It is an arithmetic number, because the mean of its divisors is an integer number (888166944000).

Almost surely, 2^{215048868041568} 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 215048868041568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341056106496000).

215048868041568 is an abundant number, since it is smaller than the sum of its proper divisors (467063344950432).

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

215048868041568 is a wasteful number, since it uses less digits than its factorization.

215048868041568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 66.

The spelling of 215048868041568 in words is "two hundred fifteen trillion, forty-eight billion, eight hundred sixty-eight million, forty-one thousand, five hundred sixty-eight".