214856900352 has 72 divisors (see below), whose sum is σ = 635369673680. Its totient is φ = 71618964480.

The previous prime is 214856900351. The next prime is 214856900389. The reversal of 214856900352 is 253009658412.

214856900352 is a `hidden beast` number, since 214 + 85 + 6 + 9 + 0 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 214856900298 and 214856900307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214856900351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15535399 + ... + 15549222.

Almost surely, 2^214856900352 is an apocalyptic number.

It is an amenable number.

214856900352 is an abundant number, since it is smaller than the sum of its proper divisors (420512773328).

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

214856900352 is an equidigital number, since it uses as much as digits as its factorization.

214856900352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31084646 (or 31084626 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 214856900352 in words is "two hundred fourteen billion, eight hundred fifty-six million, nine hundred thousand, three hundred fifty-two".