214438242564100 has 27 divisors (see below), whose sum is σ = 465331304132821. Its totient is φ = 85775238450800.

The previous prime is 214438242564047. The next prime is 214438242564121. The reversal of 214438242564100 is 1465242834412.

The square root of 214438242564100 is 14643710.

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

It can be written as a sum of positive squares in only one way, i.e., 77197767323076 + 137240475241024 = 8786226^2 + 11714968^2 .

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, 145704915 + ... + 147169285.

Almost surely, 2^{214438242564100} is an apocalyptic number.

214438242564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214438242564100 is the 14643710-th square number.

It is an amenable number.

214438242564100 is an abundant number, since it is smaller than the sum of its proper divisors (250893061568721).

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

214438242564100 is an frugal number, since it uses more digits than its factorization.

214438242564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928756 (or 1464378 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 214438242564100 in words is "two hundred fourteen trillion, four hundred thirty-eight billion, two hundred forty-two million, five hundred sixty-four thousand, one hundred".