214094350800252 has 180 divisors, whose sum is σ = 589256539607736. Its totient is φ = 65540731052160.

The previous prime is 214094350800139. The next prime is 214094350800283. The reversal of 214094350800252 is 252008053490412.

214094350800252 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 94 + 3 + 508 + 0 + 0 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214094350800198 and 214094350800207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 202026127 + ... + 203083097.

Almost surely, 2^{214094350800252} 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 214094350800252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294628269803868).

214094350800252 is an abundant number, since it is smaller than the sum of its proper divisors (375162188807484).

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

214094350800252 is a wasteful number, since it uses less digits than its factorization.

214094350800252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057230 (or 1057186 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 214094350800252 in words is "two hundred fourteen trillion, ninety-four billion, three hundred fifty million, eight hundred thousand, two hundred fifty-two".