214608486400 has 672 divisors, whose sum is σ = 686481776640. Its totient is φ = 64585728000.

The previous prime is 214608486361. The next prime is 214608486461. The reversal of 214608486400 is 4684806412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488857381 + ... + 488857819.

Almost surely, 2^214608486400 is an apocalyptic number.

214608486400 is a gapful number since it is divisible by the number (20) 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 214608486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343240888320).

214608486400 is an abundant number, since it is smaller than the sum of its proper divisors (471873290240).

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

214608486400 is a wasteful number, since it uses less digits than its factorization.

214608486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 214608486400 in words is "two hundred fourteen billion, six hundred eight million, four hundred eighty-six thousand, four hundred".