215322131664 has 60 divisors (see below), whose sum is σ = 618889490596. Its totient is φ = 69834203136.

The previous prime is 215322131663. The next prime is 215322131677. The reversal of 215322131664 is 466131223512.

215322131664 is a `hidden beast` number, since 2 + 15 + 322 + 1 + 316 + 6 + 4 = 666.

215322131664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158101664400 + 57220467264 = 397620^2 + 239208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215322131663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20201329 + ... + 20211984.

Almost surely, 2^215322131664 is an apocalyptic number.

215322131664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215322131664 is an abundant number, since it is smaller than the sum of its proper divisors (403567358932).

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

215322131664 is a wasteful number, since it uses less digits than its factorization.

215322131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40413364 (or 40413355 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 215322131664 in words is "two hundred fifteen billion, three hundred twenty-two million, one hundred thirty-one thousand, six hundred sixty-four".