214944945600 has 672 divisors, whose sum is σ = 891700641792. Its totient is φ = 44029440000.

The previous prime is 214944945599. The next prime is 214944945617. The reversal of 214944945600 is 6549449412.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 214944945600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26237505 + ... + 26245695.

Almost surely, 2^214944945600 is an apocalyptic number.

214944945600 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 214944945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445850320896).

214944945600 is an abundant number, since it is smaller than the sum of its proper divisors (676755696192).

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

214944945600 is a wasteful number, since it uses less digits than its factorization.

214944945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 214944945600 in words is "two hundred fourteen billion, nine hundred forty-four million, nine hundred forty-five thousand, six hundred".