214045894800 has 180 divisors, whose sum is σ = 743385071104. Its totient is φ = 57033849600.

The previous prime is 214045894781. The next prime is 214045894859. The reversal of 214045894800 is 8498540412.

214045894800 is a `hidden beast` number, since 21 + 4 + 0 + 4 + 589 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4667985 + ... + 4713615.

Almost surely, 2^214045894800 is an apocalyptic number.

214045894800 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 214045894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371692535552).

214045894800 is an abundant number, since it is smaller than the sum of its proper divisors (529339176304).

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

214045894800 is a wasteful number, since it uses less digits than its factorization.

214045894800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46958 (or 46944 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 214045894800 in words is "two hundred fourteen billion, forty-five million, eight hundred ninety-four thousand, eight hundred".