214553788416 has 544 divisors, whose sum is σ = 707657571840. Its totient is φ = 63700992000.

The previous prime is 214553788373. The next prime is 214553788433. The reversal of 214553788416 is 614887355412.

It is a happy number.

214553788416 is a `hidden beast` number, since 2 + 1 + 4 + 553 + 7 + 8 + 84 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6451200) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420885941 + ... + 1420886091.

Almost surely, 2^214553788416 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 214553788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353828785920).

214553788416 is an abundant number, since it is smaller than the sum of its proper divisors (493103783424).

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

214553788416 is an equidigital number, since it uses as much as digits as its factorization.

214553788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 240 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 214553788416 in words is "two hundred fourteen billion, five hundred fifty-three million, seven hundred eighty-eight thousand, four hundred sixteen".