214645074400 has 72 divisors (see below), whose sum is σ = 524944135800. Its totient is φ = 85703708160.

The previous prime is 214645074359. The next prime is 214645074437. The reversal of 214645074400 is 4470546412.

It is a self number, because there is not a number n which added to its sum of digits gives 214645074400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204751 + ... + 686449.

It is an arithmetic number, because the mean of its divisors is an integer number (7290890775).

Almost surely, 2^214645074400 is an apocalyptic number.

214645074400 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 214645074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262472067900).

214645074400 is an abundant number, since it is smaller than the sum of its proper divisors (310299061400).

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

214645074400 is a wasteful number, since it uses less digits than its factorization.

214645074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482276 (or 482263 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 214645074400 in words is "two hundred fourteen billion, six hundred forty-five million, seventy-four thousand, four hundred".