214390436832 has 432 divisors, whose sum is σ = 737113366080. Its totient is φ = 58687580160.

The previous prime is 214390436801. The next prime is 214390436851. The reversal of 214390436832 is 238634093412.

214390436832 is a `hidden beast` number, since 214 + 390 + 43 + 6 + 8 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21287094 + ... + 21297162.

It is an arithmetic number, because the mean of its divisors is an integer number (1706280940).

Almost surely, 2^214390436832 is an apocalyptic number.

214390436832 is a gapful number since it is divisible by the number (22) 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 214390436832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368556683040).

214390436832 is an abundant number, since it is smaller than the sum of its proper divisors (522722929248).

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

214390436832 is a wasteful number, since it uses less digits than its factorization.

214390436832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 214390436832 in words is "two hundred fourteen billion, three hundred ninety million, four hundred thirty-six thousand, eight hundred thirty-two".