214395675840 has 168 divisors, whose sum is σ = 738137348208. Its totient is φ = 57117480960.

The previous prime is 214395675839. The next prime is 214395675859. The reversal of 214395675840 is 48576593412.

It is a happy number.

214395675840 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 9 + 56 + 7 + 584 + 0 = 666.

214395675840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3020599 + ... + 3090761.

It is a 2-persistent number, because it is pandigital, and so is 2⋅214395675840 = 428791351680, but 3⋅214395675840 = 643187027520 is not.

Almost surely, 2^214395675840 is an apocalyptic number.

214395675840 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 214395675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369068674104).

214395675840 is an abundant number, since it is smaller than the sum of its proper divisors (523741672368).

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

214395675840 is a wasteful number, since it uses less digits than its factorization.

214395675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71247 (or 71234 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 214395675840 in words is "two hundred fourteen billion, three hundred ninety-five million, six hundred seventy-five thousand, eight hundred forty".