21514314000 has 160 divisors (see below), whose sum is σ = 69552512640. Its totient is φ = 5721408000.

The previous prime is 21514313987. The next prime is 21514314001. The reversal of 21514314000 is 41341512.

It is not an unprimeable number, because it can be changed into a prime (21514314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269270 + ... + 2278730.

It is an arithmetic number, because the mean of its divisors is an integer number (434703204).

Almost surely, 2^21514314000 is an apocalyptic number.

21514314000 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 21514314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776256320).

21514314000 is an abundant number, since it is smaller than the sum of its proper divisors (48038198640).

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

21514314000 is a wasteful number, since it uses less digits than its factorization.

21514314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21514314000 its reverse (41341512), we get a palindrome (21555655512).

The spelling of 21514314000 in words is "twenty-one billion, five hundred fourteen million, three hundred fourteen thousand".