214661341320660 has 288 divisors, whose sum is σ = 702441779614848. Its totient is φ = 52748210672640.

The previous prime is 214661341320619. The next prime is 214661341320667. The reversal of 214661341320660 is 66023143166412.

214661341320660 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 613 + 4 + 1 + 3 + 20 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214661341320667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12884052730 + ... + 12884069390.

It is an arithmetic number, because the mean of its divisors is an integer number (2439033956996).

Almost surely, 2^{214661341320660} is an apocalyptic number.

214661341320660 is a gapful number since it is divisible by the number (20) 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 214661341320660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351220889807424).

214661341320660 is an abundant number, since it is smaller than the sum of its proper divisors (487780438294188).

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

214661341320660 is a wasteful number, since it uses less digits than its factorization.

214661341320660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895 (or 25890 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 214661341320660 in words is "two hundred fourteen trillion, six hundred sixty-one billion, three hundred forty-one million, three hundred twenty thousand, six hundred sixty".