214122914208 has 576 divisors, whose sum is σ = 753930777600. Its totient is φ = 59723225856.

The previous prime is 214122914191. The next prime is 214122914209. The reversal of 214122914208 is 802419221412.

214122914208 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 229 + 1 + 420 + 8 = 666.

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 (214122914209) 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 95 ways as a sum of consecutive naturals, for example, 114687291 + ... + 114689157.

It is an arithmetic number, because the mean of its divisors is an integer number (1308907600).

Almost surely, 2^214122914208 is an apocalyptic number.

214122914208 is a gapful number since it is divisible by the number (28) 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 214122914208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376965388800).

214122914208 is an abundant number, since it is smaller than the sum of its proper divisors (539807863392).

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

214122914208 is an equidigital number, since it uses as much as digits as its factorization.

214122914208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 214122914208 in words is "two hundred fourteen billion, one hundred twenty-two million, nine hundred fourteen thousand, two hundred eight".