215141288128 has 112 divisors (see below), whose sum is σ = 465189661440. Its totient is φ = 98126659584.

The previous prime is 215141288123. The next prime is 215141288137. The reversal of 215141288128 is 821882141512.

It is a super-2 number, since 2×215141288128² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215141288123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69646008 + ... + 69649096.

It is an arithmetic number, because the mean of its divisors is an integer number (4153479120).

Almost surely, 2^215141288128 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 215141288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232594830720).

215141288128 is an abundant number, since it is smaller than the sum of its proper divisors (250048373312).

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

215141288128 is a wasteful number, since it uses less digits than its factorization.

215141288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4064 counting only the distinct ones).

The product of its digits is 81920, while the sum is 43.

The spelling of 215141288128 in words is "two hundred fifteen billion, one hundred forty-one million, two hundred eighty-eight thousand, one hundred twenty-eight".