214149733694208 has 864 divisors, whose sum is σ = 712137631546432. Its totient is φ = 63755535974400.

The previous prime is 214149733694173. The next prime is 214149733694213. The reversal of 214149733694208 is 802496337941412.

214149733694208 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 4 + 9 + 7 + 336 + 94 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5415870918 + ... + 5415910458.

Almost surely, 2^{214149733694208} 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 214149733694208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356068815773216).

214149733694208 is an abundant number, since it is smaller than the sum of its proper divisors (497987897852224).

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

214149733694208 is a wasteful number, since it uses less digits than its factorization.

214149733694208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39803 (or 39777 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 214149733694208 in words is "two hundred fourteen trillion, one hundred forty-nine billion, seven hundred thirty-three million, six hundred ninety-four thousand, two hundred eight".