215085321648 has 160 divisors (see below), whose sum is σ = 666025675200. Its totient is φ = 66204463104.

The previous prime is 215085321643. The next prime is 215085321667. The reversal of 215085321648 is 846123580512.

215085321648 is a `hidden beast` number, since 2 + 1 + 50 + 8 + 532 + 1 + 64 + 8 = 666.

It is a super-3 number, since 3×215085321648³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (215085321643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112938 + ... + 665526.

It is an arithmetic number, because the mean of its divisors is an integer number (4162660470).

Almost surely, 2^215085321648 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 215085321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333012837600).

215085321648 is an abundant number, since it is smaller than the sum of its proper divisors (450940353552).

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

215085321648 is a wasteful number, since it uses less digits than its factorization.

215085321648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552676 (or 552664 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 215085321648 in words is "two hundred fifteen billion, eighty-five million, three hundred twenty-one thousand, six hundred forty-eight".