214444869760 has 128 divisors (see below), whose sum is σ = 559628222400. Its totient is φ = 77928960000.

The previous prime is 214444869713. The next prime is 214444869787. The reversal of 214444869760 is 67968444412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11740635 + ... + 11758885.

Almost surely, 2^214444869760 is an apocalyptic number.

214444869760 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 214444869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279814111200).

214444869760 is an abundant number, since it is smaller than the sum of its proper divisors (345183352640).

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

214444869760 is a wasteful number, since it uses less digits than its factorization.

214444869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19950 (or 19938 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 214444869760 in words is "two hundred fourteen billion, four hundred forty-four million, eight hundred sixty-nine thousand, seven hundred sixty".