214381964196 has 135 divisors (see below), whose sum is σ = 581083712209. Its totient is φ = 68918707872.

The previous prime is 214381964191. The next prime is 214381964197. The reversal of 214381964196 is 691469183412.

The square root of 214381964196 is 463014.

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

214381964196 is a `hidden beast` number, since 2 + 1 + 4 + 38 + 196 + 419 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112416701796 + 101965262400 = 335286^2 + 319320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214381964191) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 241692865 + ... + 241693751.

Almost surely, 2^214381964196 is an apocalyptic number.

214381964196 is the 463014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214381964196

214381964196 is an abundant number, since it is smaller than the sum of its proper divisors (366701748013).

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

214381964196 is an frugal number, since it uses more digits than its factorization.

214381964196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 921 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 214381964196 in words is "two hundred fourteen billion, three hundred eighty-one million, nine hundred sixty-four thousand, one hundred ninety-six".