22315040000 has 360 divisors, whose sum is σ = 62832887040. Its totient is φ = 7833600000.

The previous prime is 22315039979. The next prime is 22315040009. The reversal of 22315040000 is 4051322.

It is a super-3 number, since 3×22315040000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22315040009) 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 39 ways as a sum of consecutive naturals, for example, 54559796 + ... + 54560204.

Almost surely, 2^22315040000 is an apocalyptic number.

22315040000 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 22315040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31416443520).

22315040000 is an abundant number, since it is smaller than the sum of its proper divisors (40517847040).

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

22315040000 is an equidigital number, since it uses as much as digits as its factorization.

22315040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 22315040000 its reverse (4051322), we get a palindrome (22319091322).

The spelling of 22315040000 in words is "twenty-two billion, three hundred fifteen million, forty thousand".