214845134400 has 672 divisors, whose sum is σ = 880159499520. Its totient is φ = 50582568960.

The previous prime is 214845134359. The next prime is 214845134429. The reversal of 214845134400 is 4431548412.

214845134400 is a `hidden beast` number, since 2 + 1 + 484 + 5 + 134 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 12908484 + ... + 12925116.

It is an arithmetic number, because the mean of its divisors is an integer number (1309761160).

Almost surely, 2^214845134400 is an apocalyptic number.

214845134400 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 214845134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440079749760).

214845134400 is an abundant number, since it is smaller than the sum of its proper divisors (665314365120).

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

214845134400 is a wasteful number, since it uses less digits than its factorization.

214845134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16700 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 214845134400 in words is "two hundred fourteen billion, eight hundred forty-five million, one hundred thirty-four thousand, four hundred".