214988236320 has 768 divisors, whose sum is σ = 826181959680. Its totient is φ = 46293811200.

The previous prime is 214988236313. The next prime is 214988236321. The reversal of 214988236320 is 23632889412.

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 214988236320.

It is not an unprimeable number, because it can be changed into a prime (214988236321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 222324477 + ... + 222325443.

It is an arithmetic number, because the mean of its divisors is an integer number (1075757760).

Almost surely, 2^214988236320 is an apocalyptic number.

214988236320 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 214988236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413090979840).

214988236320 is an abundant number, since it is smaller than the sum of its proper divisors (611193723360).

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

214988236320 is a wasteful number, since it uses less digits than its factorization.

214988236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 214988236320 in words is "two hundred fourteen billion, nine hundred eighty-eight million, two hundred thirty-six thousand, three hundred twenty".