214053102432 has 144 divisors (see below), whose sum is σ = 657676459440. Its totient is φ = 65647604736.

The previous prime is 214053102413. The next prime is 214053102481. The reversal of 214053102432 is 234201350412.

214053102432 is a `hidden beast` number, since 2 + 1 + 405 + 3 + 10 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 214053102396 and 214053102405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056294 + ... + 1242522.

It is an arithmetic number, because the mean of its divisors is an integer number (4567197635).

Almost surely, 2^214053102432 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 214053102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328838229720).

214053102432 is an abundant number, since it is smaller than the sum of its proper divisors (443623357008).

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

214053102432 is a wasteful number, since it uses less digits than its factorization.

214053102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186565 (or 186554 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 214053102432 its reverse (234201350412), we get a palindrome (448254452844).

The spelling of 214053102432 in words is "two hundred fourteen billion, fifty-three million, one hundred two thousand, four hundred thirty-two".