22313315554420 has 192 divisors, whose sum is σ = 56245122662400. Its totient is φ = 7339910307840.

The previous prime is 22313315554337. The next prime is 22313315554423. The reversal of 22313315554420 is 2445551331322.

22313315554420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22313315554420³ (a number of 41 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 (22313315554423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55271661 + ... + 55673899.

It is an arithmetic number, because the mean of its divisors is an integer number (292943347200).

Almost surely, 2^{22313315554420} is an apocalyptic number.

22313315554420 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 22313315554420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28122561331200).

22313315554420 is an abundant number, since it is smaller than the sum of its proper divisors (33931807107980).

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

22313315554420 is a wasteful number, since it uses less digits than its factorization.

22313315554420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402878 (or 402876 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 22313315554420 its reverse (2445551331322), we get a palindrome (24758866885742).

The spelling of 22313315554420 in words is "twenty-two trillion, three hundred thirteen billion, three hundred fifteen million, five hundred fifty-four thousand, four hundred twenty".