214260052032 has 84 divisors (see below), whose sum is σ = 661379142060. Its totient is φ = 65926167552.

The previous prime is 214260052031. The next prime is 214260052033. The reversal of 214260052032 is 230250062412.

It is a happy number.

214260052032 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 600 + 5 + 20 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (214260052031) and next prime (214260052033).

It can be written as a sum of positive squares in 2 ways, for example, as 112509259776 + 101750792256 = 335424^2 + 318984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214260051987 and 214260052005.

It is not an unprimeable number, because it can be changed into a prime (214260052031) 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, 14299407 + ... + 14314382.

It is an arithmetic number, because the mean of its divisors is an integer number (7873561215).

Almost surely, 2^214260052032 is an apocalyptic number.

It is an amenable number.

214260052032 is an abundant number, since it is smaller than the sum of its proper divisors (447119090028).

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

214260052032 is a wasteful number, since it uses less digits than its factorization.

214260052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28613820 (or 28613807 counting only the distinct ones).

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

The spelling of 214260052032 in words is "two hundred fourteen billion, two hundred sixty million, fifty-two thousand, thirty-two".