214264001530432 has 336 divisors, whose sum is σ = 525104425918080. Its totient is φ = 84937125740544.

The previous prime is 214264001530409. The next prime is 214264001530511. The reversal of 214264001530432 is 234035100462412.

It is a junction number, because it is equal to n+sod(n) for n = 214264001530391 and 214264001530400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224355194 + ... + 1224530182.

Almost surely, 2^{214264001530432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214264001530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262552212959040).

214264001530432 is an abundant number, since it is smaller than the sum of its proper divisors (310840424387648).

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

214264001530432 is a wasteful number, since it uses less digits than its factorization.

214264001530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175226 (or 175197 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 214264001530432 its reverse (234035100462412), we get a palindrome (448299101992844).

The spelling of 214264001530432 in words is "two hundred fourteen trillion, two hundred sixty-four billion, one million, five hundred thirty thousand, four hundred thirty-two".