214309740096 has 63 divisors (see below), whose sum is σ = 614312022961. Its totient is φ = 71432876544.

The previous prime is 214309740077. The next prime is 214309740107. The reversal of 214309740096 is 690047903412.

It is a happy number.

The square root of 214309740096 is 462936.

It is a perfect power (a square), and thus also a powerful number.

214309740096 is a `hidden beast` number, since 2 + 1 + 430 + 97 + 40 + 0 + 96 = 666.

214309740096 is digitally balanced in base 2, 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 only one way, i.e., 149101010496 + 65208729600 = 386136^2 + 255360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11100820 + ... + 11120108.

Almost surely, 2^214309740096 is an apocalyptic number.

214309740096 is the 462936-th square number.

It is an amenable number.

214309740096 is an abundant number, since it is smaller than the sum of its proper divisors (400002282865).

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

214309740096 is an frugal number, since it uses more digits than its factorization.

214309740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38596 (or 19294 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 214309740096 in words is "two hundred fourteen billion, three hundred nine million, seven hundred forty thousand, ninety-six".