214384008960 has 432 divisors, whose sum is σ = 839160766080. Its totient is φ = 51971051520.

The previous prime is 214384008907. The next prime is 214384009009. The reversal of 214384008960 is 69800483412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×214384008960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390111 + ... + 3452769.

Almost surely, 2^214384008960 is an apocalyptic number.

214384008960 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 214384008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419580383040).

214384008960 is an abundant number, since it is smaller than the sum of its proper divisors (624776757120).

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

214384008960 is an equidigital number, since it uses as much as digits as its factorization.

214384008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62706 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 214384008960 in words is "two hundred fourteen billion, three hundred eighty-four million, eight thousand, nine hundred sixty".