214245400032 has 96 divisors (see below), whose sum is σ = 625167396000. Its totient is φ = 71382564864.

The previous prime is 214245399959. The next prime is 214245400043. The reversal of 214245400032 is 230004542412.

214245400032 is a `hidden beast` number, since 2 + 14 + 245 + 400 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214245399969 and 214245400005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877344 + ... + 1988192.

It is an arithmetic number, because the mean of its divisors is an integer number (6512160375).

Almost surely, 2^214245400032 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 214245400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312583698000).

214245400032 is an abundant number, since it is smaller than the sum of its proper divisors (410921995968).

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

214245400032 is a wasteful number, since it uses less digits than its factorization.

214245400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113105 (or 113091 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 214245400032 its reverse (230004542412), we get a palindrome (444249942444).

The spelling of 214245400032 in words is "two hundred fourteen billion, two hundred forty-five million, four hundred thousand, thirty-two".