214905374208 has 560 divisors, whose sum is σ = 745378292736. Its totient is φ = 60600545280.

The previous prime is 214905374161. The next prime is 214905374219. The reversal of 214905374208 is 802473509412.

214905374208 is a `hidden beast` number, since 2 + 1 + 4 + 90 + 537 + 4 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 216856593 + ... + 216857583.

Almost surely, 2^214905374208 is an apocalyptic number.

214905374208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214905374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372689146368).

214905374208 is an abundant number, since it is smaller than the sum of its proper divisors (530472918528).

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

214905374208 is an frugal number, since it uses more digits than its factorization.

214905374208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 214905374208 in words is "two hundred fourteen billion, nine hundred five million, three hundred seventy-four thousand, two hundred eight".