214298629632 has 120 divisors (see below), whose sum is σ = 618768956520. Its totient is φ = 71399546880.

The previous prime is 214298629591. The next prime is 214298629637. The reversal of 214298629632 is 236926892412.

214298629632 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 9 + 8 + 629 + 6 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214298629637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11100244 + ... + 11119532.

It is an arithmetic number, because the mean of its divisors is an integer number (5156407971).

Almost surely, 2^214298629632 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 214298629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309384478260).

214298629632 is an abundant number, since it is smaller than the sum of its proper divisors (404470326888).

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

214298629632 is a wasteful number, since it uses less digits than its factorization.

214298629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21724 (or 21705 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 214298629632 in words is "two hundred fourteen billion, two hundred ninety-eight million, six hundred twenty-nine thousand, six hundred thirty-two".